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The function f has a local extreme at point (1,4). If f''(x)=3x^2+2x, then find f(0)?

A local extreme point would mean that f'(1)=0. Since integration is the inverse application of derivation, to obtain f'(x) function we integrate the f''(x) function. Bearing in mind the integration rule of i...
MT
Answered by Moris T. • Maths tutor
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Solve the simultaneous equation: 2x + y = 18, x - y = 6

First, we simply label the two equations as 'Equation 1' and 'Equation 2' respectively. So we have: Equation 1: 2x + y = 18and Equation 2: x - y = 6. In simultaneous equations, there are two variables: x and...
HM
Answered by Harry M. • Maths tutor
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How do I expand a bracket to a negative power if it doesn't start with a 1.

Okay so consider (2 + x)^-1, we can only do the expansion we know if the bracket starts with a 1, to fix this we can factor a 2 out of the bracket so that it becomes (2(1 + x/2))^-1. Then by our rules of pow...
SM
Answered by Shaun M. • Maths tutor
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What is proof by induction and how do I employ it?

Proof by induction is a type of proof in which one tries to proof a statement is valid for any arbitrary number of n by first proving for k and then trying to further extrapolate this into a valid statement ...
AB
Answered by Adrian B. • Maths tutor
1754 Views

Differentiate(dx) xy+4y-13

As this is not in the common form and is HomogeneousStudents should be confident to understand what differentiation does.Using the quotient rule as well as implicit differentiation we look at each part of th...
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Answered by Nojus M. • Maths tutor
3420 Views