Top answers

Maths
A Level

How do you differentiate X to the power of a?

To differentiate Xa, where a is any real number, you multiply X by a, and subtract 1 from the power.
i.e. d(Xa)/dX=aXa-1

Answered by James B. Maths tutor
12735 Views

x^2 + y^2 + 10x + 2y - 4xy = 10. Find dy/dx in terms of x and y, fully simplifying your answer.

x2 + y2 + 10x + 2y - 4xy = 10

Start by differentiating both sides by x, the terms not containing y are differentiated normally, x2 becomes 2x, 10x becomes ...

Answered by Guy L. Maths tutor
13066 Views

Given that y = exp(2x) * (x^2 +1)^(5/2), what is dy/dx when x is 0?

y = e2x(x2+1)5/2

The first step is to calculate dy/dx. We can do this by splitting y into two parts and using the chain rule of differentiation:

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Answered by Adam S. Maths tutor
12274 Views

Two lines have equations r = (1,4,1)+s(-1,2,2) and r = (2,8,2)+t(1,3,5). Show that these lines are skew.

Recall that for two lines to be skew they must satisfy two conditions:

1) They must not be parallel.

2) They must not intersect.

We shall check each condition ...

Answered by Dorian A. Maths tutor
10001 Views

How do you find the minimum of the equation sin^2(x) + 4sin(x)?

The first step to solving this problem is to treat it as a normal quadratic equation; if you are struggling with comparing our equation to a normal quadratic, try substituting sin(x) = y into the equat...

Answered by Kirsten S. Maths tutor
4533 Views

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