Top answers

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

+6 or -6
JN
Answered by Jessica N. • Maths tutor
4509 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 4-1 ...
YC
Answered by Yanni C. • Maths tutor
3939 Views

How do I find a stationary point on a curve and work out if it is a maximum or minimum point?

At any stationary point, the gradient of a line is zero. Therefore dy/dx = 0. If we differentiate the equation of the line, and solve this expression we can find the coordinates of the stationary point. If w...
BH
Answered by Benjamin H. • Maths tutor
4234 Views

How do you integrate the natural logarithm ln(x)?

To integrate this function, we must first recognise that ln(x) can be treated as 1 multiplied by ln(x). Using this knowledge, we can apply the 'integration by parts method' to integrate the function.Formula:...
AA
Answered by Andrew A. • Maths tutor
4622 Views

Differentiate y=(x-1)^4 with respect to x.

Using the chain rule, differentiate the "outside function" and the "inside function", and multiply the two results to get:dy/dx = 4(x-1)^3 * 1 = 4(x-1)^3
SH
Answered by Samuel H. • Maths tutor
5654 Views