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73 results.

Chain rule
Draft
Question in Bill's workspace by Bill Foster

Differentiate the following functions: $\displaystyle x ^ n \sinh(ax + b),\;\tanh(cx+d),\;\ln(\cosh(px+q))$
Find partial derivatives of $f(x,y)$ and identify its stationary points
Has some problems
Question in Content created by Newcastle University by Christian Lawson-Perfect and 1 other

Find the stationary points of the function: $f(x,y)=a x ^ 3 + b x ^ 2 y + c y ^ 2 x + dy$ by choosing from a list of points.

Inputting the values given into the partial derivatives to see if 0 is obtained is tedious! Could ask for the factorisation of equation 1 as the solution uses this. However there is a problem in asking for the input of the stationary points - order of input and also giving that there is two stationary points.
Find gradient of scalar field,
Has some problems
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 1 other

Gradient of $f(x,y,z)$ .

Should warn that multiplied terms need * to denote multiplication.
Log-likelihood and maximum likelihood estimator for PDF
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Given a PDF $f(x)$ on the real line with unknown parameter $t$ and three random observations, find log-likelihood and MLE $\hat{t}$ for $t$ .
Implicit differentiation
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Implicit differentiation.

Given $x^2+y^2+ax+by=c$ find $\displaystyle \frac{dy}{dx}$ in terms of $x$ and $y$ .
Differentiation: Product rule
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Differentiate $\sin(ax+b) e ^ {nx}$ .
Differentiation: Quotient rule
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Differentiate $\displaystyle \frac{ax+b}{cx+d}$ .
Differentiation: Quotient rule
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

The derivative of $\displaystyle \frac{ax+b}{cx^2+d}$ is of the form $\displaystyle \frac{g(x)}{(cx^2+d)^2}$ . Find $g(x)$ .
Differentiation: Product rule
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Differentiate $f(x) = x^m(a x+b)^n$ .
Quotient rule - differentiate quotient of linear terms
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Other method. Find $p,\;q$ such that $\displaystyle \frac{ax+b}{cx+d}= p+ \frac{q}{cx+d}$ . Find the derivative of $\displaystyle \frac{ax+b}{cx+d}$ .
Differentiation: Product rule
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Differentiate $x^m\cos(ax+b)$
Differentiate product of binomial and exponential
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Differentiate the function $(a + b x)^m e ^ {n x}$ using the product rule.
Quotient rule - differentiate exponential over exponential
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

The derivative of $\displaystyle \frac{a+be^{cx}}{b+ae^{cx}}$ is $\displaystyle \frac{pe^{cx}} {(b+ae^{cx})^2}$ . Find $p$ .
Quotient rule - differentiate linear over quadratic
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 1 other

The derivative of $\displaystyle \frac{ax+b}{cx^2+dx+f}$ is $\displaystyle \frac{g(x)}{(cx^2+dx+f)^2}$ . Find $g(x)$ .
Differentation: Product Rule
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Differentiate the function $f(x)=(a + b x)^m e ^ {n x}$ using the product rule. Find $g(x)$ such that $f\;'(x)= (a + b x)^{m-1} e ^ {n x}g(x)$ .
Quotient rule - differentiate linear over square root
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

The derivative of $\displaystyle \frac{ax+b}{\sqrt{cx+d}}$ is $\displaystyle \frac{g(x)}{2(cx+d)^{3/2}}$ . Find $g(x)$ .
Quotient rule - differentiate quadratic over quadratic
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

The derivative of $\displaystyle \frac{ax^2+b}{cx^2+d}$ is $\displaystyle \frac{g(x)}{(cx^2+d)^2}$ . Find $g(x)$ .
Differentiate products of hyperbolic functions
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Differentiate the following functions: $\displaystyle x ^ n \sinh(ax + b),\;\tanh(cx+d),\;\ln(\cosh(px+q))$
Differentiate products of trig, log and exponential terms
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Differentiate the following functions: $\displaystyle x ^ n \sinh(ax + b),\;\tanh(cx+d),\;\ln(\cosh(px+q))$
Chain rule - exponential of polynomial,
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Differentiate $\displaystyle e^{ax^{m} +bx^2+c}$
Chain rule - hyperbolic and log functions
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Differentiate the following functions: $\displaystyle x ^ n \sinh(ax + b),\;\tanh(cx+d),\;\ln(\cosh(px+q))$
Implicit Differentiation
Draft
Question in Clare Year 3 by Clare Lundon

Implicit differentiation.

Given $x^2+y^2+ax+by=c$ find $\displaystyle \frac{dy}{dx}$ in terms of $x$ and $y$ .
Q13 VAT
Ready to use
Question in David's workspace by TEAME CIT

Find the exVAT price

rebelmaths
Q5 VAT
Ready to use
Question in David's workspace by TEAME CIT

VAT

rebelmaths
Q8 VAT
Ready to use
Question in David's workspace by TEAME CIT

What is the change in price if the VAT changes

rebelmaths
Q14 Price Excluding VAT
Ready to use
Question in David's workspace by TEAME CIT

Finding the exVAT price

rebelmaths
Lois's copy of Chain rule
Draft
Question in Calculus by Lois Rollings

Differentiate $\displaystyle (ax^m+b)^{n}$ .
tg_TR_derivasjonsregler_1
Draft
Question in Narvik by Tore Gaupseth

Basic rules of derivatives
ma221_Tovariable
Ready to use
Question in Tore's workspace by Tore Gaupseth

Find the stationary points of the function: $f(x,y)=a x ^ 3 + b x ^ 2 y + c y ^ 2 x + dy$ by choosing from a list of points.
ma220_Tovariable
Ready to use
Question in Tore's workspace by Tore Gaupseth

Finn det stasjonære punktet $(p,q)$ til funksjonen: $f(x,y)=ax^2+bxy+cy^2+dx+gy$ . Finn verdiene til $f(p,q)$ .

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