Question

the curve y=f(x) which satisfies the condition f'(x)>o and f"(x)​

Answer 1

Answer:

If f′(x)=x+c⇒f′(x)=kex

⇒f′(x)=ex 

                  {f′(0)=1⇒k=1}

⇒f(x)=ex+λ

⇒f(x)=ex−1  

          {f(0)=0⇒λ=−1}

A=0∫1(ex−1+1)dx=e−1