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Find the turning points of the curve y = 3x^4 - 8x^3 -3

Differentiate to get:dy/dx = 12x^3 -24x^2Factorise and set equal to 0:12x^2(x-2) = 0Solve to get x = 2 and x =0.
DC
Answered by Daniel C. • Maths tutor
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Integrate: xe^x

Integrate by parts once to obtain: xe^x - e^x + c
DN
Answered by Daniel N. • Maths tutor
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Given y = x(3x+ 5)^3. Find dy/dx.

First we notice that y can be written as the product of two functions of x, u = x and v = (3x + 5)^3. This means we can use the product rule to differentiate which is dy/dx = uv' + vu'. We can plug our funct...
MS
Answered by Michael S. • Maths tutor
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A curve C has equation y = x^2 − 2x − 24x^(1/2) x > 0 find dy/dx

dy/dx = 2x -2 -12x^(-1/2)
AS
Answered by Arshia S. • Maths tutor
7257 Views

How does Le Chatelier's Principle allow you to predict the change of the position of equilibrium for an equilibrium reaction?

Le Chatelier's principle states that the position of equilibrium will shift to oppose the change of conditions to a system. For example, if the temperature is increased the position of equilibrium will shift...
FC
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