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find the diffrential of 3sin2x+4cos2x

dy/dx=6cos2x-8sin2xExplanation: cos x difrentiates to -sinx, we must times the coefficient of cos2x,(4) , by the differential of 2x (ie 2), giving -(4x2)sin2x.Similarly, sinx differentiates cosx, so using...

Answered by Amy C. • Maths tutor

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A curve has equation y = e^(3x-x^3) . Find the exact values of the coordinates of the stationary points of the curve and determine the nature of these stationary points.

In order to find the stationary points we need to find the first derivative, set it to 0 and solve for x. We can then use this value to find the value for y.y = e^{(3x-x^3)}We know for the derivat...

Answered by Philip M. • Maths tutor

5810 Views

Solve 7x + 6 > 1 + 2x

To solve a question we want to get the x terms and one sides, the variables, and the numbers on the other side, the constants.7x + 6 > 1 + 2xSubtract 2x from 7x so we only have x terms on the left hand...

Answered by Philip M. • Maths tutor

3227 Views

Chloe has 3 pieces of wool. One piece is 160mm long, another is 26cm long and the last piece is 0.45m long. What is the total length of wool, in centimetres, that Chloe has?

The question is asking us to give our answer in centimetres, so the first step to solve this problem will be to convert all the lengths into centimetres. 1cm = 10mm so 160mm = 160/10 =

Answered by Fizza A. • Maths tutor

3696 Views

Write x^2+4x-12 in the form (x+a)^2+b where 'a' and 'b' are constants to be determined.

This question is asking us to complete the square. To find the value of a we must halve the coefficient of x. So, in this question: a = 4/2 = 2. To find the value of b we...

Answered by Fizza A. • Maths tutor

8735 Views