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Solution - If y=f(u) is a differentiable function of u and u = g(x) is a differentiable function of x then prove that y = f (g(x)) is a  differentiable function of x and - Derivative - Every Differentiable Function is Continuous but Converse is Not True

ConceptDerivative Every Differentiable Function is Continuous but Converse is Not True

Question

Ify y=f(u) is a differentiable function of u and u = g(x) is a differentiable function of x then prove that y = f (g(x)) is a  differentiable function of x and

(dy)/(dx)=(dy)/(du)*(du)/(dx)

Solution

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APPEARS IN

2013-2014 (March)
Question 5.1.1 | 3 marks
2015-2016 (March)
Question 5.1.1 | 3 marks

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Solution for question: If y=f(u) is a differentiable function of u and u = g(x) is a differentiable function of x then prove that y = f (g(x)) is a  differentiable function of x and concept: Derivative - Every Differentiable Function is Continuous but Converse is Not True. For the courses HSC Arts, HSC Science (Computer Science), HSC Science (Electronics), HSC Science (General)
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