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If 1/(x(a-x)) is equivalent to B(1/x + 1/(a-x)), Express 'B' in terms of 'a'

1/(x(a-x)) = B(1/x + 1/(a-x)) Note: the '≡' sign (defined equivalence) can be used in place of '=' but this is not necessary to achieve full marks.Step: multiply both sides by x(a-x)1 = (x(a-x))B(1/x + 1/(a-...
CG
Answered by Charles G. • Maths tutor
4389 Views

Differentiate y = x sin(x)

The question is asking to differentiate which means find dy/dx. If we think about the differentiation rules we know about, we see that we should use the product rule as y is a product (multiplication) of two...
NT
Answered by Nathan T. • Maths tutor
7633 Views

If y=5x+4x^3, find dy/dx.

When asked to find dy/dx, this means to differentiate. Differentiation is also a method of calculating the gradient of a line. (dy/dx = gradient.) The rule of differentiation is as follows: Step 1 : Differen...
UH
Answered by Umair H. • Maths tutor
4692 Views

Solve the equation 2cos2(x) + 3sin(x) = 3, where 0<x<=π

x = π/6, 5π/6, π/2
BC
Answered by Ben C. • Maths tutor
6112 Views

A curve has equation y = 20x -x^(2) - 2x^(3). The curve has a stationary point at the point M where x = −2. Find the x coordinates of the other stationary point.

First you must differentiate the given equation. This give you 20-2x-6x 2 . Since we are told that one of the stationary points is at x=-2, this is one of the factors of the differential equation. Meaning th...
LW
Answered by Lawrence W. • Maths tutor
4201 Views