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Given that f(x)= (4/x) - 3x + 2 find i) f'(x) and ii) f''(1/2)

This question is asking us to find the first order derivative of f(x) with respect to x, then the second order derivative when x=1/2i) Firstly, let's consider (d/dx)4/x:There are two ways to think about diff...
VB
Answered by Verity B. • Maths tutor
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Differentiate x^x

With the methods we know at A Level we cannot current differentiate x x in its current form. Therefore let y = x x To turn it into a form we can differentiate we take the natural log of both sides. This give...
Answered by • Maths tutor
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How do changes to the coefficient of x affect the graph y = f(x) as opposed to changes to the coefficient of f(x)?

If you change the coefficient of x, it will stretch or squash the graph in the x direction by the reciprocal of the factor that the coefficient is changed by. If you change the coefficient of f(x), then the ...
JB
Answered by Jesper B. • Maths tutor
9570 Views

Find the gradient of the curve with the equation y = x^3+7x^2+1 at x=2

The equation of the line is y=x 3 +7x 2 +1To find the equation for the gradient of the line, we need to differentiateDifferentiating gives us dy/dx = 3x 2 +14xWe can now find the gradient of the curve at any...
CR
Answered by Charlotte R. • Maths tutor
4688 Views

dy/dx of 2x (3x - 1)^5

use the product rule as well as chain rule. We require the product rule when there is are variables both outside and inside the brackets. The chain rule is only utilised when we have one variable.
AT
Answered by Amir T. • Maths tutor
6978 Views