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

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

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

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

From mathcentre.ac.uk

Use the quotient rule to differentiate various functions.

Use the product rule to differentiate various functions.

Practice using the log rules to add and subtract logarithms

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

Solve a random oblique triangle for sides and angles.

Identifying the correct rule to use

Identifying the correct rule to use

An introduction to using the quotient rule

Using the chain rule within product rule problems

Introduction to using the product rule

Using the chain rule with polynomials and negative powers

Using the chain rule within product rule problems.

Use Sine rule and Cosine rule to solve a Geometry problem in geology.

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.

Simplify logarithmic expressions using rules on logarithms.

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.

Chain rule

Power rule

Product rule

Quotient rule

Quotient rule

Product rule

Power rule