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What is differentation and how does it work?

Differentiation is how to find the gradient of a line. For example, the line y = 3x has a gradient of 3. Similarly, y = 4x + 2 has a gradient of 4. However, for most lines, the gradient isn't the same along ...
TP
Answered by Thomas P. • Maths tutor
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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
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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
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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
4402 Views

What is calculus?

Finding the gradient or area underneath a graph
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Answered by Andrew G. • Maths tutor
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