Here you will learn what is chain rule in differentiation with examples. Let’s begin – Chain Rule in Differentiation If f(x) and g(x) are differentiable functions, then fog is also differentiable and (fog)'(x) = f'(x) = f'(g(x)) g'(x) or, ddx {(fog) (x)} = ddg(x) {(fog) (x)} ddx (g(x)). Remark 1 : The […]
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Here you will learn what is quotient rule in differentiation with examples. Let’s begin – Quotient Rule in Differentiation If f(x) and g(x) are two differentiable functions and g(x) ≠ 0, then ddx {f(x)g(x)} = g(x)ddx(f(x))–f(x)ddx(g(x))(g(x))2 Example 1 : find the differentiation of \(sinx\over
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Here you will learn what is product rule in differentiation with examples. Let’s begin – Product Rule in Differentiation If f(x) and g(x) are differentiable functions, then f(x)g(x) is also differentiable function such that ddx {f(x) g(x)} = ddx (f(x)) g(x) + f(x). ddx (g(x)) If f(x), g(x) and h(x) are differentiable
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