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How do I find f'(x) for f(x)=4x^3+x^2+5x+8?

This question require you to differentiate. The general rule for this format of differentiation is to multiply the number in front of the x by the power of the x and then reduce the power by one (in formula ...
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Answered by Naomi C. • Maths tutor
23144 Views

Differentiate f(x) with respect to x. Find the stationary value and state if it is a maxima, minima or point of inflection f(x) = 6x^3 + 2x^2 + 1

differentiate 6x^3 + 2x^2 + 1 = 18x^2 + 4x To determine stationary point set second derivative to zero 2nd derivative =36x + 4 36x + 4 = 0 therefore x = -4/36 = -1/9 x is -ve therefore point x = -1/9 is a ma...
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Answered by Harry H. • Maths tutor
4185 Views

How can you solve a quadratic equation?

There are 3 main ways of solving a quadratic equation x^2 + bx + c = 0 (we'll suppose the coefficient of x^2 is 1 for now). The first is factorisation, where if you can spot that you can factorise the expres...
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Answered by Warren L. • Maths tutor
4329 Views

How do you integrate tan^2(x)?

This is a question which tests your knowledge of how to use trigonometric identities as well as integration. As there is no way to immediately integrate tan^2(x) using well known trigonometric integrals and ...
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Answered by Warren L. • Maths tutor
121453 Views

Why is the derivative of x^2 equal to 2x?

Differentiation is finding the slope of a graph; how steep it is at some point. In this case, we want to find out how steep the graph of x^2 is. To do this, we could look at the slope between two points on t...
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Answered by Lawrence H. • Maths tutor
19477 Views