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Differentiate the function; f(x)=1/((5-2x^3)^2)

We know from the properties of basic indices that a -x =1/a x , so 1/((5-2x 3 ) 2 =(5-2x 3 ) -2 where in this case, a=5-2x 3 and x=2. Then the function is differentiable by the chain rule. As dy/dx=dy/duXdu/...
BK
Answered by Benjamin K. • Maths tutor
6104 Views

Differentiate (2^x)(5x^2+5x)^2.

This is a relatively difficult equation to differentiate as there are various parts to consider.Firstly, we will let u=2^x and v=(5x^2+5x)^2 in the product rule. Then the differential of u is (2^x)ln(2). We ...
GH
Answered by George H. • Maths tutor
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Solve x^2-6x+8=0

To solve this equation we must first factorise it. To do this we initially write two brackets containing x equal to zero like this (x )(x )=0.Then we want to identify the other part of our bracket. These two...
WS
Answered by William S. • Maths tutor
4320 Views

A trader buys 6 watches at £25 each. He scratches one of them, so he sells that one for £11. He sells the other 5 for £38 each. Find his profit as a percentage.

Percentage profit = (profit/original )x 100 To find the profit; £38x5+11 - (6x£25) = £51 Percentage profit = (£51/6x25)x100 = 34%
IN
Answered by Idris N. • Maths tutor
3389 Views

Determine the tangent to the curve y = sin^2(x)/x at the point, x = pi/2. Leave your answer in the form ax+by+c=0

First determine the y coordinate of the curve at the given x coordinate, in this case, y = sin 2 (pi/2)/(pi/2) = 1 2 /(pi/2) = 2/piDifferentiate the function with respect to x to determine the gradient of th...
TB
Answered by Thomas B. • Maths tutor
5536 Views