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10 questions from this quiz
A composite function
g(x)=x3+1g(x) = x^3 + 1g(x)=x3+1
dydx=dydu×dudx\frac{dy}{dx} = \frac{dy}{du} \times \frac{du}{dx}dxdy=dudy×dxdu
Derivative of inside
When both functions are differentiable
12x2−512x^2 - 512x2−5
−6-6−6
Chain rule is much more efficient
y=16(3x2+1)−1y = 16(3x^2 + 1)^{-1}y=16(3x2+1)−1
Inside and outside functions
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