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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 stationa...

Answered by Callum G. • Maths tutor

4401 Views

List three differences and three similarities between eukaryotic and prokaryotic cells

Prokaryotic cells:-contain naked DNA-contain 70S ribosomes-Are much smaller than eukaryotic cellsEukaryotic cells:-Have compartmentalisation-Contain mitochondria / chloroplasts-Contain 80s ribosomesSimila...

Answered by Beatriz L. • Biology tutor

1995 Views

‘Lloyd George created a ‘land fit for heroes’ in the years immediately following WWI’ To what extent do you agree with this statement?

One of the main aims of Lloyd George’s post war coalition government was to create a ‘land fit forheroes’; a Britain that troops coming back from the war could be proud of as a reward for and demonstratio...

Answered by Jessica P. • History tutor

4038 Views

To what extent can Jesus be regarded as no more than a teacher of wisdom?

When discussing the person of Jesus one can consider three interpretations: Jesus as the son of God,(regarding his divine nature, his knowledge of it and how it impacted other aspects of his personality),...

Answered by Jessica P. • Philosophy and Ethics tutor

17717 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) = ...

Answered by Henry T. • Maths tutor

3952 Views