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Solve the equation (2x-1)/3 + (x+2)/2 +x/6 = 8

The first thing you want to do is to get rid of the fractions,Multiplying everything by 6 will help you do this You must multiply every fraction by 6 and also everything you do to the left hand side, you mus...
NM
Answered by Niamh M. • Maths tutor
6388 Views

given that f(x) = x^4 + 2x, find f'(x)

This is a simple differentiation question where we just differentiate by taking the power of the x and bringing that in front as a constant and then taking 1 off the power. So for the first term, x^4, we bri...
SF
Answered by Sheheryar F. • Maths tutor
5050 Views

A curve has an equation y=3x-2x^2-x^3. Find the x-coordinate(s) of the stationary point(s) of the curve.

The very first step in solving this problem is understanding that a stationary point is where the derivative of the curve, dy/dx (or in Newton’s notation y’), is equal to zero. This is because at stationary ...
CG
Answered by Callum G. • Maths tutor
5852 Views

Use the quotient rule to differentiate: ln(3x)/(e^4x) with respect to x.

Quotient rule: d(u/v)/dx = [(du/dx)v-u(dv/dx)]/v^2 u = ln(3x) v = e^4x Find du/dx using chain rule: u = ln(z) ==> du/dz = 1/z z = 3x ==> dz/dx = 3 (du/dz)(dz/dx) = 3/z = 3/3x = 1/x du/dx = 1/x Find dv/...
HT
Answered by Henry T. • Maths tutor
4786 Views

what is the largest stick can you fit into a cylinder, if the radius is 3cm and the length is 24cm. To 2d.p

If the radius is 3cm then the diameter is 6cm. the largest stick would be the hypotonuse between the length ans the base and therefore pythagoras is needed.Stick Length= sqrt(radius 2 +lenght 2 ) = sqrt(6 2 ...
EE
Answered by Elizabeth E. • Maths tutor
3357 Views