hamburger menu
All Coursesall course arrow
adda247
reward-icon
adda247
    arrow
    arrow
    arrow
    The derivative of the function f(x)=−3x2+6x−4f(x)=-3x^2+6x-4f(x)=−3x2+6x−4​ is given by:
    Question

    The derivative of the function f(x)=3x2+6x4f(x)=-3x^2+6x-4​ is given by:

    A.

    6x+66x+6​​

    B.

    6x66x-6​​

    C.

    6x6-6x-6​​

    D.

    6x+6-6x+6​​

    Correct option is D

    Differentiate term by term:f(x)=ddx(3x2)+ddx(6x)+ddx(4)f(x)=32x1+610f(x)=6x+6\begin{aligned}&\text{Differentiate term by term:} \\&f'(x) = \frac{d}{dx}(-3x^2) + \frac{d}{dx}(6x) + \frac{d}{dx}(-4) \\&f'(x) = -3 \cdot 2x^1 + 6 \cdot 1 - 0 \\&f'(x) = -6x + 6\end{aligned}​​

    test-prime-package

    Access ‘AAI JE ATC’ Mock Tests with

    • 60000+ Mocks and Previous Year Papers
    • Unlimited Re-Attempts
    • Personalised Report Card
    • 500% Refund on Final Selection
    • Largest Community
    students-icon
    176k+ students have already unlocked exclusive benefits with Test Prime!
    test-prime-package

    Access ‘AAI JE ATC’ Mock Tests with

    • 60000+ Mocks and Previous Year Papers
    • Unlimited Re-Attempts
    • Personalised Report Card
    • 500% Refund on Final Selection
    • Largest Community
    students-icon
    176k+ students have already unlocked exclusive benefits with Test Prime!