Top answers

Find the first differential with respect to x of y=tan(x)

To answer, we must be familiar with several trigonometric identities and expressions; first notice that tan(x)=sin(x)/cos(x). Now our function is a quotient of two functions of x that we can easily different...
AJ
Answered by Alex J. • Maths tutor
8388 Views

What is the equation of the normal line to the curve y = 3x^3 - 6x^2 at the point (1, 4)?

First we must find the gradient of the curve at the point (1, 4) - we do this by finding the derivative dy/dx, as we do to find any gradient. Differentiating the equation of the curve gives us that dy/dx = 9...
AK
Answered by Amy K. • Maths tutor
9285 Views

Integrate ln(x) by parts then differentiate to prove the result is correct

Integrating by parts requirez recognition that ln(x) is equal to ln(x) multiplied by 1. Making u equal to ln(x) should make the integration trivial. Differentiation is a simple use of the product rule and ch...
JD
Answered by Joshua D. • Maths tutor
5131 Views

The line AB has equation 3x + 5y = 7. Find the gradient of line AB.

First, let's make y the subject of the equation. Let's achieve this by having only y on the left hand side of the equation. To do this we need to minus 3x from both sides of the equation. This leaves us with...
TO
Answered by Tom O. • Maths tutor
6060 Views

The volume of liquid in a container is given by v=(3h^2+4)^(3/2)-8, find dV/dh when h = 0.6

Chain rule: dV/dh=9h(3h^2+4)^(1/2) sub in h=0.6 , dV/dh = 12.17
JH
Answered by Johnny H. • Maths tutor
9470 Views