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Find the derivative of f where f(x)=a^x.

This is a difficult question that you only need to know the result of.However, it's a good exercise to derive it. Starting with f(x)=a x we can take the natural logarithm of both sides (so we can use one of ...
LR
Answered by Larry R. • Maths tutor
4841 Views

How would you express (11+x-x^2)/[(x+1)(x-2)^2] in terms of partial fractions?

The first thing to consider when converting an expression to impartial fractions is how many fractions you will have in the end. With linear (no powers) brackets, found in the denominator of your initial fra...
MM
Answered by Matthew M. • Maths tutor
7939 Views

Draw the graph of x^3 + x^2 - 6x

This is a cubic curve because the highest power to which x is being raised is 3. Cubic curves with addition x^2 and x terms often have a distinctive shape - sort of like a capital 'N' drawn using curves. So,...
GH
Answered by George H. • Maths tutor
4296 Views

Solve x^2 - 7x + 10 = 0

First factorise: (x - 2)(x - 5) = 0 Then either: x - 2 = 0 so x = 2 or x - 5 = 0 so x = 5
AD
Answered by Aran D. • Maths tutor
17349 Views

Rearranging equations

Quesiton: Solve 10x - 7 = 5x + 3, to find the value of x Answer: x = 0.5 Solution: First you must rearrange the equation so that all the like terms are on the same side: 10x - 5x = 3 +7 5x = 10 Then to find ...
HS
Answered by Hamid S. • Maths tutor
5198 Views