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73 results.

Shaheen's copy of Functions of two variables: Locate stationary point
Ready to use
Question in WM175_A1_24 by Shaheen Charlwood and 1 other

Find the stationary point $(p,q)$ of the function: $f(x,y)=ax^2+bxy+cy^2+dx+gy$ . Calculate $f(p,q)$ .
DIfferentiation: product rule
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 1 other

Differentiate the function $f(x)=(a + b x)^m e ^ {n x}$ using the product rule. Find $g(x)$ such that $f^{\prime}(x)= (a + b x)^{m-1} e ^ {n x}g(x)$ .
Ugur's copy of Find gradient of scalar field,
Ready to use
Question in Ugur's workspace by Ugur Efem and 2 others

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

Should warn that multiplied terms need * to denote multiplication.
Q12 Prive including VAT
Ready to use
Question in David's workspace by TEAME CIT and 1 other

Including VAT

rebelmaths
Q 3 VAT
Draft
Question in David's workspace by TEAME CIT and 1 other

Finding the cost including VAT

rebelmaths
Differentiation: quotient rule
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Differentiate $f(x) = (a x + b)/ \sqrt{c x + d}$ and find $g(x)$ such that $f^{\prime}(x) = g(x)/ (2(c x + d)^{3/2})$ .
Chain rule - trig and quadratic
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 2 others

Differentiate $\displaystyle \cos(e^{ax}+bx^2+c)$
Chain rule - binomial
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 1 other

Differentiate $\displaystyle (ax^m+b)^{n}$ .
Chain rule - product of two functions
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 1 other

The derivative of $\displaystyle x ^ {m}(ax^2+b)^{n}$ is of the form $\displaystyle x^{m-1}(ax^2+b)^{n-1}g(x)$ . Find $g(x)$ .
Chain rule - square root of polynomial
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 1 other

Differentiate

$\sqrt{a x^m+b})$
Chain rule - power of a quadratic,
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Differentiate $\displaystyle (ax^m+bx^2+c)^{n}$ .
Chain rule - log of binomial
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Differentiate $\displaystyle \ln((ax+b)^{m})$
Quotient rule
Draft
Question in Bill's workspace by Bill Foster

Other method. Find $p,\;q$ such that $\displaystyle \frac{ax+b}{cx+d}= p+ \frac{q}{cx+d}$ . Find the derivative of $\displaystyle \frac{ax+b}{cx+d}$ .
Quotient rule. (Video)
Draft
Question in Bill's workspace by Bill Foster

The derivative of $\displaystyle \frac{ax^2+b}{cx^2+d}$ is $\displaystyle \frac{g(x)}{(cx^2+d)^2}$ . Find $g(x)$ .

Contains a video solving a similar quotient rule example. Although does not explicitly find $g(x)$ as asked in the question, but this is obvious.
Hyperbolic Functions 2
Draft
Question in Bill's workspace by Bill Foster

Differentiate the following functions: $\displaystyle x ^ n \sinh(ax + b),\;\tanh(cx+d),\;\ln(\cosh(px+q))$
Quotient rule
Draft
Question in Bill's workspace by Bill Foster

The derivative of $\displaystyle \frac{ax+b}{\sqrt{cx+d}}$ is $\displaystyle \frac{g(x)}{2(cx+d)^{3/2}}$ . Find $g(x)$ .
Product rule
Draft
Question in Bill's workspace by Bill Foster

Differentiate $x^m\cos(ax+b)$
Product rule
Draft
Question in Bill's workspace by Bill Foster

Differentiate $\sin(ax+b) e ^ {nx}$ .
Quotient rule
Draft
Question in Bill's workspace by Bill Foster

The derivative of $\displaystyle \frac{ax+b}{cx^2+dx+f}$ is $\displaystyle \frac{g(x)}{(cx^2+dx+f)^2}$ . Find $g(x)$ .
Product rule
Draft
Question in Bill's workspace by Bill Foster

Differentiate $x ^ m(ax+b)^n$ using the product rule. The answer will be of the form $x^{m-1}(ax+b)^{n-1}g(x)$ for a polynomial $g(x)$ . Find $g(x)$ .
Product rule
Draft
Question in Bill's workspace by Bill Foster

Differentiate $(ax+b)^m(cx+d)^n$ using the product rule. The answer will be of the form $(ax+b)^{m-1}(cx+d)^{n-1}g(x)$ for a polynomial $g(x)$ . Find $g(x)$ .
Product Rule
Draft
Question in Bill's workspace by Bill Foster

Differentiate the function $f(x)=(a + b x)^m e ^ {n x}$ using the product rule. Find $g(x)$ such that $f\;'(x)= (a + b x)^{m-1} e ^ {n x}g(x)$ .
Product rule
Draft
Question in Bill's workspace by Bill Foster

Differentiate $x ^m \sqrt{a x+b}$ .
The answer is in the form $\displaystyle \frac{x^{m-1}g(x)}{2\sqrt{ax+b}}$
for a polynomial $g(x)$ . Find $g(x)$ .
Product rule
Draft
Question in Bill's workspace by Bill Foster

Differentiate $f(x) = x^m(a x+b)^n$ .
Product rule
Draft
Question in Bill's workspace by Bill Foster

Differentiate the function $(a + b x)^m e ^ {n x}$ using the product rule.
Chain rule
Draft
Question in Bill's workspace by Bill Foster

Differentiate $\displaystyle \ln((ax+b)^{m})$
Chain rule
Draft
Question in Bill's workspace by Bill Foster

Differentiate the following functions: $\displaystyle x ^ n \sinh(ax + b),\;\tanh(cx+d),\;\ln(\cosh(px+q))$
Chain rule
Draft
Question in Bill's workspace by Bill Foster

The derivative of $\displaystyle x ^ {m}(ax^2+b)^{n}$ is of the form $\displaystyle x^{m-1}(ax^2+b)^{n-1}g(x)$ . Find $g(x)$ .
Chain rule. (Video).
Draft
Question in Bill's workspace by Bill Foster

Differentiate $\displaystyle \cos(e^{ax}+bx^2+c)$ .

Contains a video solving a similar example.
Chain rule
Draft
Question in Bill's workspace by Bill Foster

Differentiate

$\sqrt{a x^m+b})$

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