Search our library of Maths A Level questions

Top answers

Maths

A Level

A curve has the equation: x^3 - x - y^3 - 20 = 0. Find dy/dx in terms of x and y.

x³ - x - y³ - 20 = 0 Find dy/dx. Differentiate with respect to x.
3x² - 1 - 3y²(dy/dx) = 0Therefore: dy/dx = (3x

Answered by Karishma P. • Maths tutor

3593 Views

Find the exact gradient of the curve y = ln(1-cos 2x) at the point with x-coordinate π/6.

The gradient to the curve is given by the derivative of the function y = f(x) = ln(1 - cos 2x). This function is a composition of two other functions so we need to use the chain rule to find the derivativ...

Answered by Archie R. • Maths tutor

7142 Views

How do I integrate tan^2 x?

Firstly, use the trigonometric formula tan²x = sec²x - 1, which you can easily derive from sin

Answered by Jakub C. • Maths tutor

9916 Views

Integrate 2x^5 - 1/4x^3 - 5

I = x⁶/3 - x⁴/16 -5x + C

Answered by Rocio C. • Maths tutor

3049 Views

What is a Binomial distribution and when, in an exam, should I use it?

The Binomial distribution is a sequence of N trials which each have a probability, p, of occurring. Each trial is either successful (with probability p) or not. It can be used to give us the probability o...

Answered by Dean B. • Maths tutor

3709 Views