Home
Class 12
PHYSICS
If y=x^3 then (d^2y)/(dx^2) is.....

If `y=x^3` then `(d^2y)/(dx^2)` is..

Text Solution

AI Generated Solution

To find the second derivative of the function \( y = x^3 \), we will follow these steps: ### Step 1: Find the first derivative \( \frac{dy}{dx} \) We start with the function: \[ y = x^3 \] Using the power rule of differentiation, which states that if \( y = x^n \), then \( \frac{dy}{dx} = n \cdot x^{n-1} \), we differentiate \( y \): ...
Promotional Banner

Topper's Solved these Questions

  • CENGAGE PHYSICS DPP

    CENGAGE PHYSICS ENGLISH|Exercise single correct type|14 Videos

  • CENGAGE PHYSICS DPP

    CENGAGE PHYSICS ENGLISH|Exercise Comprehension Type|31 Videos

  • CENGAGE PHYSICS DPP

    CENGAGE PHYSICS ENGLISH|Exercise subjective type|51 Videos

  • CAPACITOR AND CAPACITANCE

    CENGAGE PHYSICS ENGLISH|Exercise Integer|5 Videos

  • COULOMB LAW AND ELECTRIC FIELD

    CENGAGE PHYSICS ENGLISH|Exercise Single Answer Correct Type|22 Videos

Similar Questions

Explore conceptually related problems

If y=x^x , find (d^2y)/(dx^2) .

If y=tan^(-1)x^3 then find (d^2y)/(dx^(2)) .

If y=log x , find (d^2y)/(dx^2) .

If y=(x-x^2) , then find (d^2y)/(dx^2) .

If x=at^2,y=2 at then find (d^2y)/(dx^2) .

If x=t^2 and y=t^3 , find (d^2y)/(dx^2) .

If y^2=a x^2+b x+c , then y^3(d^2y)/(dx^2) is (a) a constant (b) a function of x only (c) a function of y only (d) a function of x and y

If y^2=a x^2+b x+c , then y^3(d^2y)/(dx^2) is (a) a constant (b) a function of x only (c) a function of y only (d) a function of x and y

y=x*cos x then find (d^2y)/(dx^(2)) .

If x=sin theta and y=cos^(3) then 2y(d^(2)y)/(dx^(2))+4((dy)/(dx))^(2) is