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A curve has equation y = f(x) and passes through the point (4,22). Given that f'(x) = 3x^2 - 3x^(1/2) - 7 use intergration to find f(x).

As f '(x) is the differential of f(x) we have to first integrate f '(x). To do this we take each term individually and integrate it. So starting with 3x 2 , to integrate a simple function of x like this we h...
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Answered by Jonathan O. • Maths tutor
8390 Views

how do you do binomial expansion when the power is a negative

There is a simple equation, similar to the normal binomial expansion, thats easy to remember once youve used it a few times. (1+x) n =1+nx+{[n(n-1)]/2!}x 2 +{[n(n-1)(n-2)]/3!}x 3 +... This looks complicated ...
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Answered by Sarah M. • Maths tutor
11295 Views

Why does differentiation give us the results that it does?

A quick analysis here is based on the fact that y=(x 2 ). A big change is worked out between two points. The gradient between x=1 and x=2 is equal to 3. BUT we know the gradient is constantly changing so thi...
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Answered by Alexander A. • Maths tutor
4295 Views

2^6*2^10=?

When multiplying two same numbers with powers, we add the powers together. The answer of this question would be 2^16, which is also 65536.
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Answered by Hamza H. • Maths tutor
3503 Views

If I have a picture of a graph f(x), how can I draw what |f(x)| and 3f(x-2) look like?

This is about a topic called graph transformations. It can get quite complicated, but the lucky thing here is that each question can be broken down into steps. So considering the first question with |f(x)|, ...
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Answered by Jamie H. • Maths tutor
9477 Views