2. Questions Bank
  3. JEE Main & Advanced
  4. Mathematics
  5. Differentiation

JEE Main & Advanced Mathematics Differentiation Question Bank Derivative at a point Standard Differentiation

  • question_answer
    If \[f(x)=mx+c,f(0)=f'(0)=1\]then \[f(2)=\]

    A)            1

    B)            2

    C)            3

    D)            ? 3

    Correct Answer: C

    Solution :

               Here \[f'(x)=m=1\]Þ\[f'(0)=m=1\] and \[f(0)=c=1\]. Therefore \[\therefore \frac{dy}{dx}=\frac{3}{2}{{(x{{\cot }^{3}}x)}^{1/2}}[{{\cot }^{3}}x+3x{{\cot }^{2}}x(-\text{cose}{{\text{c}}^{2}}x)]\].


You need to login to perform this action.
You will be redirected in 3 sec spinner