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What is the gradient of the function y=x^3 at the point x=1?

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KS
Answered by Kiran S. • Maths tutor
11075 Views

Solve 2x+5=9

So, to solve this we want to isolate the x's on one side of the equation. We do this by subtracting 5 from both sides to give 2x=4. Then, we want to obtain a single x on one side of the equation. To do this,...
MH
Answered by Mike H. • Maths tutor
5066 Views

A curve C has the equation x^3 + 6xy + y^2 = 0. Find dy/dx in terms of x and y.

By differentiating with respect to x, 3x^2+6x(dy/dx)+6y+2y(dy/dx)=0 So, dy/dx(6x+2y)=-3x^2-6y so dy/dx = -(3x^2+6y)/(2(3x+y))
MH
Answered by Mike H. • Maths tutor
4309 Views

Solve the quadratic equation X^2+3X+2=0 by factorisation.

There are different ways of solving quadratic equations but this one asks for you to solve by factorisation. This is where you take the equation on the left hand side and rewrite it into brackets - two bits ...
AM
Answered by Annabelle M. • Maths tutor
8985 Views

Why does adding a constant to a function's input (as in f(x-a)) shift the plot of the function along the x-axis?

Imagine the function f(x) as a black box which takes in any value x and produces an output y. The black box acts on its input according to a rule which produces a unique value of y for a given x. If the blac...
JH
Answered by James H. • Maths tutor
7730 Views