What is differentiation and why is it useful?
Although differentiation is often taught in an abstract way, it's applications are virtually limitless. It's primary purpose is to determine the gradient of a line at a given point on a curve. Unlike with the gradient of a straight line, which is constant at all points on the line, the gradient of a curve is different at every point. Differentiation is therefore the method used to find the gradient at a given point.
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Related Maths A Level answers
All answers ▸y = (x^3)/3 - 4x^2 + 12x find the stationary points of the curve and determine their nature.
Integrate the following expression with respect to x, (2+4x^3)/x^2
Find the exact value of x from the equation 3^x * e^4x = e^7
How do you know if a stationary point on a curve is a maximum or minimum without plotting the graph?