Explain the Chain Rule
The chain rule is used to differentiate composite functions, ie "a function of a function". In this case we have an outer function and an inner function. For example
Differentiate f(g(x)). Here f is the outer function and g the inner.
The derivative of this function is found by differentiating the outer function and evaluating its derivative at the point g(x) and then multiplying by the derivative of g(x):
f(g(x))' = f'(g(x))g'(x)
AC
Related Maths A Level answers
All answers ▸How to differentiate using the chain rule
Differentiate y=x^x with respect to x.
x = 2t + 5, y = 3 + 4/t. a) Find dy/dx at (9.5) and b) find y in terms of x.
The cubic polynomial f(x) is defined by f(x) = 2x^3 -7x^2 + 2x + 3. Given that (x-3) is a factor of f(x), express f(x) in factorised form.