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f(x)=x^3 +24x+3 f'(x)=3x2+24 Since x^2>0 for all real x 3x^2+24>0 So f(x) is an increasing function

Firstly, when we need to factorise an expression like ax 2 + bx + c, we should find two numbers m and n such that mn = ac and m+n = b. In this question, a = 6, b = -11, c = -10. So mn = -60 and m+n = -11. Le...

Confidence in your mathematical ability and subsequent answers in an exam is key. During an exam you should be confident with the answers that you are giving which can be achieved with steady revision and at...

A derivative is a function that tells us the gradient of a curve at any point. Say you have a function like f(x)=x 3 +x 2 and you want to know when the function is stationary, i.e. has a gradient of zero. We...

When integrating we add one to the power of x and divide the number in front of the x by the new power for each part of the function. So 2x^2 becomes 2/3 x^3, 4x becomes 4/2 x^2, 1 becomes 1/1 x^1. Then we n...