Top answers

Differentiate f(x)= x^3 + x^(1/3)-2

f'(x)= 3x^2+1/3x^(-2/3) To differentiate you need to multiply the coefficant of the x dependent terms by the powers and then the power of x goes down by one. For example: differentiate f(x) = x^n. f'(x) = nx...
JR
Answered by Jathursa R. • Maths tutor
4148 Views

make y the subject of this expression p = ((x+y)/5)^1/2

To maintain the equality everything that is done to one side needs to be done also to the other. First, we square both sides to get rid of the power on the right-hand side. What we get is p^2 = (x+y)/5. Now ...
GS
Answered by Giorgia S. • Maths tutor
3100 Views

Integrate 10x(x^1/2 - 2)dx

First, expand the brackets. This will give us 10x^3/2 - 20x. Now to integrate this expression we have to increase the power of each term by one and then divide them by the number which becomes the new power....
GS
Answered by Giorgia S. • Maths tutor
10470 Views

A curve has parametric equations -> x = 2cos(2t), y = 6sin(t). Find the gradient of the curve at t = π/3.

First we need to find the derivatives of x and y in terms of t. dx/dt can be found using the chain rule. Differentiating the inside of the bracket gives us 2. Multiplying the outside gives -2sin(2t) (Derivat...
MM
Answered by Matvei M. • Maths tutor
5115 Views

Solve 4 + 3(2x - 5) = x + 9.

4 + 3(2x - 5) = x + 9, 3(2x - 5) = x + 5, 6x - 15 = x + 5, 5x = 20, x = 20/5, x = 4
MC
Answered by Megan C. • Maths tutor
7137 Views