calculus chain rule


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Derivative of a Function of a Function
The differentiation of function of a function is known as 'chain rule'. The chain rule is probably the most widely used differentiation rule in mathematics. If y is a differentiable function of u and u is a differentiable function of x, ..
Derivative of a Function of a Function
Derivative of a Function of a Function - So far, we know how to differentiate functions like sin x and x 3 - 5. But how do we differentiate a function of a function? That is how can we differentiate sin (x 3 - 5)?So far, we know how to differentiate functions like sin x and x 3 - 5. But how do we d..
Product Rule for Differentiation
Product Rule for Differentiation - Let y = u. v, where both u and v are differentiable functions of x.Let y = u. v, where both u and v are differentiable functions of ..
Product Rule for Differentiation
Let y = u. v, where both u and v are differentiable functions of x.Let y = u. v, where both u and v are differentiable functions of x. or (u.v)' = u.v' + v .u' It can be remembered ..
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