Question

the curve y=f(x) which satisfies the condition f'(x)>o and f"(x)<0 for all real x is​

Answer 1

Answer:

If f

′

(x)=x+c⇒f

′

(x)=ke

x

⇒f

′

(x)=e

x

{f

′

(0)=1⇒k=1}

⇒f(x)=e

x

+λ

⇒f(x)=e

x

−1 {f(0)=0⇒λ=−1}

A=∫

0

1

(e

x

−1+1)dx=e−1

Step-by-step explanation:

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