Chain rule Totally Explained

Everything about Chain Rule totally explained

In calculus, the chain rule is a formula for the derivative of the composite of two functions.
In intuitive terms, if a variable, y, depends on a second variable, u, which in turn depends on a third variable, x, then the rate of change of y with respect to x can be computed as the rate of change of y with respect to u multiplied by the rate of change of u with respect to x.

Informal discussion

The chain rule states that, under appropriate conditions, ť

(f circ g)'(x) = f'(g(x)) g'(x),,

which in short form is written as ť

(f circ g)' = f'circ gcdot g'

.

Alternatively, in the Leibniz notation, the chain rule is ť

frac

Further Information

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