Question

If functions f and g are such that f(x) = g(x) + k,where k is a constant, then
(a) f'(x) = g '(x) +k
(b)f'(x)=g '(x)
(c) k
(d) none of these​

Answer 1

Given:

If functions f and g are such that f(x) = g(x) + k, where k is a constant

To Find:

If functions f and g are such that f(x) = g(x) + k, where k is a constant

(a) f'(x) = g '(x) +k

(b)f'(x)=g '(x)

(c) k

(d) none of these​.

Solution:

Given that,

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

Differentiating both sides w.r.t x we get,

f'(x)=g '(x) ( as derivative of any constant is zero)

Option (b) will be the correct one as the derivative of a constant is zero.

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