Differentiate the function $(a + b x)^m  e ^ {n x}$ using the product rule.

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})$.

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

Differentiate

\[ \sqrt{a x^m+b})\]

Differentiate $\displaystyle e^{ax^{m} +bx^2+c}$

Differentiate $\displaystyle (ax^m+b)^{n}$.

Differentiate $\displaystyle (ax^m+bx^2+c)^{n}$.

Differentiating further exponentials

Differentiating the natural logarithm

Real life problems with differentiation

Another practical application of differentiation

Differentiate $\displaystyle e^{ax^{m} +bx^2+c}$

Differentiate $ (a+bx) ^ {m} \sin(nx)$

Finding the stationary points of a cubic with two turning points

This question provides practice at differentiating polynomials.

A basic introduction to differentiation

Statements about the different kinds of averages where you have to select "always", "sometimes", or "never".

Differentiate $ \sin(ax+b) e ^ {nx}$.

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Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

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Differentiate $f(x) = x^m(a x+b)^n$.

An introduction to using the quotient rule

Differentiate $f(x) = x^m(a x+b)^n$.

Find the equation of the straight line perpendicular to the given line that passes through the given point $(a,b)$.

Solve an exponential equation for radioactivity

Express $\log_a(x^{c}y^{d})$ in terms of $\log_a(x)$ and $\log_a(y)$. Find $q(x)$ such that $\frac{f}{g}\log_a(x)+\log_a(rx+s)-\log_a(x^{1/t})=\log_a(q(x))$

Solve an exponential equation

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This question provides practice at adding, subtracting, dividing and multiplying complex numbers in rectangular form.

Given the original price of a smartphone and the rate at which it decreases, calculate its price after a given number of months. In the second part, calculate the time remaining until the price goes below a certain point.