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A short demonstration of when the basic simplification rules are turned on, or off.

Application of the power rule for differentiation for a positive integer power.

Match the equivalence with the rule

Match the equivalence with the rule

Product rule differentiation question with customised feedback to catch some common errors.

Match the equivalence with the rule

Match the equivalence with the rule

Match the equivalence with the rule

Match the equivalence with the rule

Match the equivalence with the rule

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

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

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

rebelmaths

Find $\displaystyle \frac{d}{dx}\left(\frac{m\sin(ax)+n\cos(ax)}{b\sin(ax)+c\cos(ax)}\right)$. Three part question.

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 $g(x)$.

Differentiate

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

Apply and combine logarithm laws in a given equation to find the value of $x$.

Use the rule $\log_a(n^b) = b\log_a(n)$ to rearrange some expressions.

This question applies a rewriting rule to the student's answer and correct answer, to interpret chained inequalities $a<b<c$ and $a>b>c$ as $(a<b) \wedge (b<c)$ and $(a>b) \wedge (b>c)$ respectively.

This is a work-around until the parser interprets chained relations this way automatically.

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

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