Question

if function f and g are such that f(x)=g(x)+k where k is constant then​

Answer 1

Answer:

f′(x) = g′(x).

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Answer 2

Answer:

Concept:

The sensitivity to change of the function value with respect to a change in its argument is measured by the derivative of a function of a real variable. Calculus includes derivatives as a basic tool. The velocity of a moving item, for example, is the derivative of its position with respect to time: it indicates how quickly the object's position varies as time passes.

Given:

given function f(x) = g(x)+k

Find:

Given functions f and g

f(x)=g(x)+k where k is constant

Step-by-step explanation:

Given equation

f(x) = g(x)+k

Differentiating both sides with respect to 'x'

then,

f'(x)=g'(x)

Therefore derivative of any constant is 0

Therefore the answer is f'(x)=g'(x)