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Differentiate x^x

This can't be differentiated with the usual methods (chain rule, product rule). First we set y = x x , and our objective is to calculate dy/dx in terms of x. To turn this function into more familiar function...
JT
Answered by Joel T. • Maths tutor
13817 Views

Solve the equation |3x +4a| = 5a where a is a positive constant.

This is a modulus question, asking us to solve for x. As there are two variables in this equation, it is impossible for us to solve for an actual number, so we are asked to answer in terms of a. The easiest ...
CH
Answered by Chloe H. • Maths tutor
7151 Views

Express (2x-14)/(x^2+2x-15) as partial fractions

Partial fractions is a method of expressing a single fraction with multiple factors in the denominator as a sum of fractions. First we must factorise the denominator (bottom of the fraction).x 2 +2x-15 = (x+...
AS
Answered by Andrew S. • Maths tutor
4528 Views

Solve the simultaneous equations x - 2y = 5 and 5x + 4y = 11

We can solve simultaneous equations one of two ways. We can either substitute one equation into the other or we can eliminate one of the unknowns only leaving us one to deal with. I will explain both methods...
AT
Answered by Amy T. • Maths tutor
4760 Views

How do you find the turning point of a parabola using its equation? using its equation?

First, you have to differentiate the equation to find the first derivative. Once you do this, you then set the derivative to equal zero and find the corresponding x value. This number is the x-value of the c...
IY
Answered by Ifeoluwa Y. • Maths tutor
3942 Views