163 results for "differentiate".

Question in Demos
Contains some extremely basic code to do symbolic differentiation: it can give the derivative of terms of the form $x^n$, $sin(x)$ and $cos(x)$, and apply the chain rule.

Question in Content created by Newcastle University
Differentiate the function $f(x)=(a + b x)^m e ^ {n x}$ using the product rule. Find $g(x)$ such that $f\;'(x)= (a + b x)^{m1} e ^ {n x}g(x)$.

Question in Content created by Newcastle University
Differentiate the function $(a + b x)^m e ^ {n x}$ using the product rule.

Question in Content created by Newcastle University
Differentiate $f(x)=x^{m}\sin(ax+b) e^{nx}$.
The answer is of the form:
$\displaystyle \frac{df}{dx}= x^{m1}e^{nx}g(x)$ for a function $g(x)$.Find $g(x)$.

Question in Content created by Newcastle University
Differentiate $ (a+bx) ^ {m} \sin(nx)$

Question in Content created by Newcastle University
Differentiate the following functions: $\displaystyle x ^ n \sinh(ax + b),\;\tanh(cx+d),\;\ln(\cosh(px+q))$

Question in Content created by Newcastle University
Differentiate the following functions: $\displaystyle x ^ n \sinh(ax + b),\;\tanh(cx+d),\;\ln(\cosh(px+q))$

Question in Content created by Newcastle University
The derivative of $\displaystyle \frac{a+be^{cx}}{b+ae^{cx}}$ is $\displaystyle \frac{pe^{cx}} {(b+ae^{cx})^2}$. Find $p$.

Question in Content created by Newcastle University
The derivative of $\displaystyle \frac{ax+b}{cx^2+dx+f}$ is $\displaystyle \frac{g(x)}{(cx^2+dx+f)^2}$. Find $g(x)$.

Question in Content created by Newcastle University
The derivative of $\displaystyle \frac{ax+b}{\sqrt{cx+d}}$ is $\displaystyle \frac{g(x)}{2(cx+d)^{3/2}}$. Find $g(x)$.

Question in Content created by Newcastle University
The derivative of $\displaystyle \frac{ax^2+b}{cx^2+d}$ is $\displaystyle \frac{g(x)}{(cx^2+d)^2}$. Find $g(x)$.

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

Question in Content created by Newcastle University
Find $\displaystyle \frac{d}{dx}\left(\frac{m\sin(ax)+n\cos(ax)}{b\sin(ax)+c\cos(ax)}\right)$. Three part question.

Exam (9 questions) in Content created by Newcastle University
Use the quotient rule to differentiate various functions.

Question in Content created by Newcastle University
Differentiate $f(x) = x^m(a x+b)^n$.

Question in Content created by Newcastle University
Differentiate $x^m\cos(ax+b)$

Question in Content created by Newcastle University
Differentiate $ \sin(ax+b) e ^ {nx}$.

Question in Content created by Newcastle University
Differentiate the function $f(x)=(a + b x)^m e ^ {n x}$ using the product rule. Find $g(x)$ such that $f^{\prime}(x)= (a + b x)^{m1} e ^ {n x}g(x)$.

Question in Content created by Newcastle University
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})$.

Question in Content created by Newcastle University
Differentiate $\displaystyle \frac{ax+b}{cx+d}$.

Question in Content created by Newcastle University
Differentiate $\displaystyle (ax^m+b)^{n}$.

Question in Content created by Newcastle University
Differentiate $\displaystyle e^{ax^{m} +bx^2+c}$

Question in Content created by Newcastle University
Differentiate the following functions: $\displaystyle x ^ n \sinh(ax + b),\;\tanh(cx+d),\;\ln(\cosh(px+q))$

Question in Content created by Newcastle University
Differentiate $\displaystyle \ln((ax+b)^{m})$

Question in Content created by Newcastle University
Differentiate $\displaystyle (ax^m+bx^2+c)^{n}$.

Question in Content created by Newcastle University
Differentiate
\[ \sqrt{a x^m+b})\]

Question in Content created by Newcastle University
Differentiate $\displaystyle \cos(e^{ax}+bx^2+c)$

Exam (8 questions) in Content created by Newcastle University
Use the chain rule to differentiate various functions.

Exam (11 questions) in Content created by Newcastle University
Use the product rule to differentiate various functions.

Question in Transition to university
Differentiate between linear and quadratic sequences and arithmetic and geometric sequences through a series of multiple choice questions. Spot different patterns in sequences like the triangle sequence, square sequence and cubic sequence and then use this pattern to find the next three terms in each of the sequences.