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7 months ago

Determine whether the statement is true or false. if f and g are differentiable, then d dx [f(g(x))]

Mathematics

1 answer:

Naya [18.7K]7 months ago

6 0

The given statement d dx [f(g(x))] is true if f and g are differentiable.

As we know that the value of a definite integral of a function is always a constant.

So, d d x [f(g(x))] is a constant.

It is also known that the derivative of a constant is always equal to 1. Therefore, d dx [f(g(x))] =1 .

From this we get to know that the statement is true.

Differentiation

A method for figuring out the derivative of a function is differentiation. Differentiation is a mathematical technique for figuring out how quickly a function will change based on one of its variables.

To learn more about differentiation

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3 years ago

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Free_Kalibri [48]

QUESTION 1

We want to solve,

$\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x^{2}-6x+8}$

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