Chain Rule Calculator

by The Scientific Place

y=y =

The following function will be differentiated:

y=sin(x2)y = \sin{\left ( x^{2} \right )}

The following is the derivative:

Click "Calculate" to begin. \text{Click "Calculate" to begin.}
What is the chain rule?

The chain rule is a rule used to differentiate composite functions. It states that dydx=dydududx\frac{dy}{dx} = \frac{dy}{du} \cdot \frac{du}{dx}, where yy is a function of uu and uu is a function of xx. In other words, the derivative of a composite function is the derivative of the outer function evaluated at the inner function, multiplied by the derivative of the inner function.

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