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A function f is defined by f(x) = x^3 - 3x^2 + 1. i) Write down f'(x). ii) Hence find the co-ordinates of the stationary points of the curve y=f(x).

i) Using the power rule, f'(x) = 3x2 - 6x ii) To find stationary points, set f'(x) to 0: 3x2 - 6x = 0. 3x(x - 2) = 0. x = 0  or  x = 2 So the co-ordinates are (0,f(0)) = (0, 1), and ...

SS
Answered by Sam S. Maths tutor
4915 Views

What is 17 multiplied by 120?

Using the grid method, we know this is equal to (10100) + (1020) + (7100) + (720) = 1000+200+700+140 = 2040

CD
Answered by Cam D. Maths tutor
3364 Views

How do I integrate and differentiate 1/(x^2)?

1/(x2) can be written as x-2

We know that to differentiate you need to multiply by the value of the old power and minus 1 from it. This means dy/dx of y=...

JG
Answered by Judy G. Maths tutor
3484 Views

what is 64 to the power of 2/3?

If a number is to the power of 2/3, you should think of it as to the power of 1/3 (so CUBE-rooted), and then being to the power of 2 (so squared).

So here, the cube root of 64 is 4, because 4x4x4=6...

SO
Answered by Stephanie O. Maths tutor
77354 Views

How do I know when to use Sine, Cosine and Tangent

The easy way to remember these uses the acronym SOH-CAH-TOA

The function to use depends on the sides of the triangle you know in the problem. 

With right angled triangles each side has a nam...

JG
Answered by Judy G. Maths tutor
15528 Views

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