A quartic graph is given. The question is to determine whether the gradient is positive or negative at various values of x. Non-calculator. Advice is given.

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

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

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

Calculating gradients

Calculating gradients

Identifying the gradient from a straight-line graph equation y=mx+c

Looking at gradients and values for x and y for straight-line graphs

Looking at gradients and values for x and y for straight-line graphs

Given a graph of a straight line, the student is asked various questions about it, e.g. values of $f$, of $f$ inverse, about its gradient, about intercepts.

Given one point and the gradient determine the equation of the line.

Identifying y=mx+b given two points

Given $f(x)=(x+b)^n$. Find the gradient and equation of the chord between $(a,f(a))$ and $(a+h,f(a+h))$ for randomised values of $a$, $b$ and $h$.

Identifying y=mx+b given two points

Tests the ability to find the gradient and intercept of a straight line graph.

Looking at gradients and values for x and y for straight-line graphs

Calculating gradients

Identifying the gradient from a straight-line graph equation y=mx+c

Given the gradient of a slope and the coefficient of friction for a mass resting on it, use the equations of motion to calculate how it moves.

Includes a GeoGebra rendering of the model.

Find the gradient of  $ \displaystyle ax^b+\frac{c}{x^{d}}+f$ at $x=n$

Find the gradient of  $ \displaystyle ax^b+\frac{c}{x^{d}}+f$ at $x=n$