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Given that y= 5x^2 + 2x , find dy/dx

5x^2 becomes 25x as the 2 comes down and 2x becomes 2 as x becomes 1.dy/dx = 25x + 2=10x+2

Answered by Camille D. Maths tutor
3883 Views

How do I find the inverse of a function?

To find the inverse of a function you need to rearrange from y= a function in terms of x to x=a function in terms of y and then when you write your answer it's important to set it in the...

Answered by Natalie H. Maths tutor
2681 Views

When do I use the sin rule and when do I use the cosine rule?

The sin rule is used when you need to find a length of a side or an angle. You use the sin rule when you're given an angle, an opposite side length and also an angle or side length opposite to the one you...

Answered by Natalie H. Maths tutor
7338 Views

Prove that 2 cot (2x) + tan(x) == cot (x)

(1) Aim to rearrange the right hand side (rhs) to make it look like the left hand side.LHS = 2 cot (2x) + tan (x)(2) Notice that the rhs is only in terms of x, whereas the right has a function involving 2...

Answered by Joseph C. Maths tutor
9709 Views

The rate of decay of the mass is modelled by the differential equation dx/dt = -(5/2)x. Given that x = 60 when t = 0, solve the quation for x in terms of t.

(1) Rearrange the equation so that the left hand side is a function of x, and the right hand side is a function of t only.dx/dt = - (5/2) x(1/x)dx = -(5/2)dt(2) Integrate both sidesln(x/A) = -(5/2)t, wher...

Answered by Joseph C. Maths tutor
5559 Views

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