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

Missing: Application with bacteria, turning points, difficult chain rule

Find the sum of two 2-dimensional vectors, graphically and exactly using the parallelogram rule.

A question testing the application of the Cosine Rule when given three side lengths. In this question, the triangle is always acute. A secondary application is finding the area of a triangle.

Two questions testing the application of the Sine Rule when given two sides and an angle. In this question, the triangle is always acute and one of the given side lengths is opposite the given angle.

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

Power rule

Product rule

Quotient rule

Product rule

Power rule

Power rule

Chain rule

Power rule

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.

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.

Missing: Application with bacteria, turning points, difficult chain rule

Differentiate $\displaystyle \frac{ax+b}{cx+d}$.

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.

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

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.

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.

Use the BODMAS rule to determine the order in which to evaluate some arithmetic expressions. 

$f(x)=   c\ln(ax^2+bx)-x$ is sketched. A tangent is also sketched. The equation of the tangent line is asked for. Shorter because in the original, I also ask for the $x$-coordinate of the maximum point.

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.

An introduction to using the quotient rule

An introduction to using the quotient rule

An introduction to using the quotient rule

An introduction to using the quotient rule

Differentiate $\displaystyle \frac{ax+b}{cx+d}$.

Differentiate the function $f(x)=(a + b x)^m  e ^ {n x}$ using the product rule. Find $g(x)$ such that $f\;'(x)= (a + b x)^{m-1}  e ^ {n x}g(x)$.