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Maths
A Level

The line AB has equation 3x + 5y = 7. What is the gradient of AB?

The gradient of a line in the form y = ax + b, where a and b are some numbers, is the number a.

So we need to get the equation 3x + 5y = 7 into the above...

Answered by Baran K. Maths tutor
7675 Views

What is the gradient of y = xcos(x) at x=0?

First we want to calculate the derivative of y. To do this we use the product rule:If we rewrite y as y = uv, then dy/dx = vdu/dx + udv/dx.Here, we have u = x and v = cos(x).That means du/dx = 1 ...

Answered by Fraser F. Maths tutor
4012 Views

Find the integral of sin^2(X)

As soon as you see a question asking you to integrate the square of sin, cos or tan, your first approach should be to use trigonometric identities and double angle formulas

Answered by Kyna F. Maths tutor
410961 Views

Showing all your working, evaluate ∫ (21x^6 - e^2x- (1/x) +6)dx

When integrating a long chain of functions, we can integrate each term seperately and combine them. Let us now integrate:∫21x6dx = 21∫x6dx. Using the Power Rule [∫xadx = (...

Answered by Raghav A. Maths tutor
6354 Views

Differentiate y=x(e^x)

Write as y=uv u=x v=ex

du/dx=1 dv/dx=ex 

Using the product rule, dy/dx=vdu/dx + udv/dx

So dy/dx=ex(1)+x(ex...

Answered by Isabel R. Maths tutor
4100 Views

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