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Find dy/dx for (x^2)(y^3) + ln(x^y) = 5sin(6x)/x^(1/2)

To differentiate this equation we must use the implicit method, looking at the left side of the equation, to find the differential of the first term we must use the product rule, therefore the differential o...
MH
Answered by Max H. • Maths tutor
4133 Views

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
13993 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
7247 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
4604 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
4009 Views