Top answers

How to do the chain rule.

The chain rule is used for functions 'inside' other functions. We have learnt to differentiate functions like x^2, y^20, e^x, -sin(x), and we will use these results in the chain rule. Let's look at an exampl...
JC
Answered by Jamie C. • Maths tutor
4448 Views

How do I find the equation of a tangent to a given point on a curve?

Let's take an example: Curve: y = x^2 Point: (2,4) The equation of the tangent is going to be of the form y = mx + c (standard equation of a straight line), where m is the gradient of the line and c is the i...
TP
Answered by Theo P. • Maths tutor
4781 Views

The line AB has equation 3x + 5y = 7, find; a) the gradient of AB b) the x-axis and y-axis intercepts c) sketch the graph

a) Rearrange equation into the form y = mx + c where m is the gradient and c is the y-axis intercept. Gradient AB = -3/5. b) The y-intercept is c which = 7/5. To find x-axis intercept we set y=0 and rearrang...
WH
Answered by Will H. • Maths tutor
5446 Views

Simplify: (3x+8)/5 > 2x + 1

Multiply both sides by 5: 3x + 8 > 10 x + 5 Move 3x to RHS by subtracting 3x from both sides: 8 > 7x + 5 Move 5 to LHS by subtracting 5 from both sides: 3 > 7x Make the coefficient of x equal 1 by d...
OD
Answered by Orlaith D. • Maths tutor
4729 Views

Differentiate: 2(x^2+2)^3

This is a chain rule question. Unlike in ordinary differentiation we have more than just the single term 'x' with coefficient 1 raised to the power of something. e.g. x^3 Therefore, there is more steps. We c...
CA
Answered by Charlotte A. • Maths tutor
3572 Views