Harry Flynn

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.

rebelmaths

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

An introduction to using the quotient rule

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

Curl of a vector field.

Divergence of vector fields.

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

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Find the dot product and the angle between two vectors

Find the cosine of the angle between two pairs of 3D and 4D vectors.

Given a 3 x 3 matrix, and two eigenvectors find their corresponding eigenvalues. Also fnd the characteristic polynomial and using this find the third eigenvalue and a normalised eigenvector $(x=1)$.

$A,\;B$ $2 \times 2$ matrices. Find eigenvalues and eigenvectors of both. Hence or otherwise, find $B^n$ for largish $n$.

Find the determinant of a $3 \times 3$ matrix.

$A$ a $3 \times 3$ matrix. Using row operations on the augmented matrix $\left(A | I_3\right)$ reduce to $\left(I_3 | A^{-1}\right)$.

When are vectors $\boldsymbol{v,\;w}$ orthogonal?