Search our library of Maths A Level questions

Top answers

Maths

A Level

The curve y = 4x^2 + a/ x + 5 has a stationary point. Find the value of the positive constant a given that y-ordinate of the stationary point is 32.

This question might look hard but can be easily answered by breaking it down into steps and remembering a few key things. The first step is to recognise that the question is mentioning a stationary point ...

Answered by Helen B. • Maths tutor

11341 Views

Solve to find sin x , 4cos^2 + 7sin x -7 =0

4cos² x + 7 sinx - 7 =0 we know that sin²+ cos² = 1 so 4(1-sin²x) + 7sinx -7 = 0 if we times out the brackets -4sin²x + 7 sinx -3 =0 4sin²

Answered by Jo P. • Maths tutor

3620 Views

When performing differentiation in core 3, in what circumstances do I apply the chain, product and quotient rule?

You must apply the chain rule whenever you see a function contained within another function. For example, if you were to differentiate (sin x)² you would apply the chain rule as the sin functi...

Answered by James S. • Maths tutor

3162 Views

Integrate xcos(x)

This problem will be solved using the integration by parts method, taking the integrated function as udv which answer is uv-(integration of vdu) : u=x and dv=cos(x) so, du=dx and v=sin(x). We have, xsin(x...

Answered by Lucia A. • Maths tutor

3501 Views

Find the derivative of sinx, use that to find the derivative of xsinx

the derivative of sinx is cosx, then we know that we can apply the product rule to find derivative of xsinx, such that if we let u=x and v=sinx and apply the formula d/dx(xsinx)=udv/dx+vdu/dx. to...

Answered by Niren B. • Maths tutor

4275 Views