If f x and g x have equal derivatives- then f x - g x is a functionA- IdentifyB- ConstantC- EvenD- Odd

The correct option is B Constant f^1(x)=g^1(x)⇒ f(x)+c_1=g(x)+c_2 ∴ f(x) g(x)=c_2 c_1=cons tan t ...

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Byju's Answer

Standard XII

Mathematics

Derivative

If f x and g ...

Question

If f(x) and g(x) have equal derivatives, then f(x) - g(x) is a ___________ function

Constant

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Identify

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Even

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Odd

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Solution

The correct option is A
Constant

$f^{1} (x) = g^{1} (x) \Rightarrow f (x) + c_{1} = g (x) + c_{2} ∴ f (x) - g (x) = c_{2} - c_{1} = c o n s t a n t$

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If f(x) and g(x) have equal derivatives, then f(x) - g(x) is a ___________ function

The correct option is A Constant f1(x)=g1(x)⇒f(x)+c1=g(x)+c2∴f(x)−g(x)=c2−c1=cons tan t

The correct option is A
Constant

$f^{1} (x) = g^{1} (x) \Rightarrow f (x) + c_{1} = g (x) + c_{2} ∴ f (x) - g (x) = c_{2} - c_{1} = c o n s t a n t$