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A curve C has equation 2^x + y^2 = 2xy. How do I find dy/dx for the curve C?

This question requires an understanding of implicit differentiation, a specific form of the chain rule for derivatives. (Aside/reminder) - Implicit function vs Explicit function: Explicit functions : y may b...
JC
Answered by Jesse C. • Maths tutor
13601 Views

Work out 7/8 × 3/4

To solve this question we first need to multiply the top part of the two fractions together to get the top part of the answer: 7×3=21. Then we need to multiply the bottom part of the two fractions together t...
LH
Answered by Louise H. • Maths tutor
6507 Views

A curve has equation y=2x^3. Find dy/dx.

We differentiate here to find the gradient, dy/dx, i.e. the differenitial of y in terms of x. As the right handside is purely dependant on x, this is simple. We can just multiply through by the power, i.e. 2...
CT
Answered by Claire T. • Maths tutor
5489 Views

How do I find the stationary points of a curve?

For a curve where y = f(x) the gradient of the curve is the derivative of this equation dy/dx. Stationary points of a curve occur when the gradient of the curve is zero. Hence find the expression for dy/dx a...
AM
Answered by Anna M. • Maths tutor
4407 Views

Solve 2x-5=3x+4

2x-5=3x+4 Firstly, you move the +4 to the other side (-5-4=-9). The equation should now look like: 2x-9=3x. You then move the 2x to the other side (3x-2x=x) so your answer would be x=-9
AW
Answered by Amelia W. • Maths tutor
8603 Views