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Maths
A Level

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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AS
Answered by Adam S. Maths tutor
12830 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 ...

DA
Answered by Dorian A. Maths tutor
11067 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...

KS
Answered by Kirsten S. Maths tutor
4978 Views

Two points have coordinates (1,-6) and (-2,3). Find the equation of the line which joins them, and their midpoint.

To find the line's equation, you need the gradient and the y-intercept. The gradient is found using:

(y2-y1)/(x2-x1)

Or simply (change in y direction)/(change in x direction...

KV
Answered by Kara V. Maths tutor
7388 Views

Differentiate 4x^2 + 2ln3x + e^x

To differentiate x2 you bring the power of x down, then reduce the power of x by 1, so d/dx(x2) = 2x1

ln3x differentiates to (d/dx(3x))/3x = 3/3x = 1/x

TM
Answered by Thomas M. Maths tutor
7492 Views

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