Differentiate the following functions: $\displaystyle x ^ n \sinh(ax + b),\;\tanh(cx+d),\;\ln(\cosh(px+q))$

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

Differentiate $x^m\cos(ax+b)$

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

Use the product rule to differentiate various functions.

Finding the modulus of four complex numbers; includes finding the modulus of a product, a power and a quotient.

Expand $(ax+b)(cx+d)$.

Expanding products of 3 linear  polynomials over $\mathbb{Z}_3,\;\mathbb{Z}_5,\;\mathbb{Z}_7$

Given an equation with an unknown, determine if the unknown is positive or negative.

First part is the product of two numbers; second part is the product of three.

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Find the dot product and the angle between two vectors

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

From mathcentre.ac.uk

Use the product rule to differentiate various functions.

Given vectors $\boldsymbol{A,\;B}$, find $\boldsymbol{A\times B}$

Identifying the correct rule to use

Using the chain rule within product rule problems

Introduction to using the product rule

Simplify fractions involving the products of factorials.

How to input x^2 and x*y.

Using the chain rule within product rule problems.

Differentiate the function $f(x)=(a + b x)^m  e ^ {n x}$ using the product and chain rule. Find $g(x)$ such that $f^{\prime}(x)= (a + b x)^{m-1}  e ^ {n x}g(x)$. Non-calculator. Advice is given.

Product rule

Product rule

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Given vectors $\boldsymbol{A,\;B}$, find $\boldsymbol{A\times B}$

Calculations of the lengths of two 3D vectors, the distance between their terminal points, their sum, difference, and dot and cross products.

Given vectors $\boldsymbol{v}$ and $\boldsymbol{w}$, find their inner product.

This creates a 4x4 times table grid using numbers from 2 to 9. The step gives some advice on how to work out times tables (products, multiplications) if you can't remember them.

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