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Maths
A Level

Differentiate with respect to x: y=2^x

This question demonstrates how the exponential function can be used to simplify equations. In its current form the equation appears complex and the method is not clear. However, if we take the ln of both ...

Answered by Hugo W. Maths tutor
3241 Views

A curve is defined for x > 0. The gradient of the curve at the point (x,y) is given by dy/dx = x^(3/2)-2x. Show that this curve has a minimum point and find it.

This is a typical exam style question, taken from an AQA paper. This question is testing your knowledge of stationary points and differentiation. Step 1: Find all stationary points by setting the first ...

Answered by Yishuang C. Maths tutor
4093 Views

The circle (x-3)^2 +(x-2)^2 = 20 has centre C. Write down the radius of the circle and the coordinates of C.

Radius = square root of 20
Centre = (3,2)

Answered by Jessica N. Maths tutor
4425 Views

What is the exact answer to (1^3 + 2^3 + 3^3)^(0.5) ?

+6 or -6

Answered by Jessica N. Maths tutor
3461 Views

Given y=2x^4-1+x^1/2, solve dy/dx

Using the sum rule, you can split the function in three terms and then derive each of them separately. The rule is to bring down the power and the power minus one. So for the first term, it becomes 2*4x

Answered by Yanni C. Maths tutor
3069 Views

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