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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 differentia...

Answered by Max H. • Maths tutor

3572 Views

Solve algebraically the simultaneous equations x^2 +y^2 =25, y – 3x = 13

This question is done by substituting either the x or y. To do this, rearrange the second equation to make y the subject. We make y the subject as it keeps the equation and calculation simple. After rearr...

Answered by Shun S. • Maths tutor

22709 Views

Show that (x+2)(x+3)(x+5) can be written in the form ax^3 + bx^2 + cx +d, where a,b, c and d are positive integers

I would tell them to start multiplying out the first brackets (x+2)(x+3)! I would do this by timesing x by everything in the second bracket and then 2 by everything in the second brakcet! Giving the answe...

Answered by Bridget P. • Maths tutor

7586 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 ...

Answered by Joel T. • Maths tutor

12615 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 easie...

Answered by Chloe H. • Maths tutor

6427 Views