Home
Class 12
MATHS
If 2t= v^(2) then (dv)/(dt)= ……....

If `2t= v^(2)` then `(dv)/(dt)`= …….

A

0

B

`(1)/(v)`

C

`(1)/(2)`

D

`-(1)/(v^(2))`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 5 (Section- B)|8 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper -5 (Section-C)|10 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise NCERT Exemplar Problems and Solution (True/False)|10 Videos

  • BOARD'S QUESTION PAPER MARCH - 2020

    KUMAR PRAKASHAN|Exercise PART - B (Section - C)|4 Videos

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Practice Paper-4 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

According to Boil's law PV = C, where V = 600 cm^(3) , P = 150 SI/ cm^(2) and (dP)/(dt)=20 SI//cm^(2) . Find (dV)/(dt) .

Find the first derivatives (i) If y=x^(-1//3)," find "(dy)/(dx) (ii) If x=t^(6)," find "(dx)/(dt) (iii) If z=u^(3)," find "(dz)/(du) (iv) If f=r^(2)+r^(1//3)," find "(df)/(dr) (v) If x=2t^(3)-3t^(2)+5t-6," find "(dx)/(dt) (vi) If y=3x^(2) (vii) If y=xlnx (viii) If y=xsinx (ix) If y=sinx cosx (x) If y=sin^(2)x+cos^(2)x (xi) If y=cos2x (xii) If v=(4)/(3)pir^(3)," find "(dv)/(dr) (xiii) If s=4pir^(2)," find "(ds)/(dr)

If the volume of a sphere increases at constant rate ((dv)/(dt)=4) . If radius of the sphere is denoted by r then surface area of the sphere inceases at the rate :-

u= f (tan x), v= g(sec x), f'(1) =2 and g'(sqrt2)= 4 " then " (du)/(dv)|_(x = (pi)/(4)) =……….

Fundamental theorem of definite integral : If int_(sinx)^(1)t^(2)f(t)dt=(1-sinx) then f((1)/(sqrt3))=........

Given s=t^(2)+5t+3 , find (ds)/(dt)

Given s=t^(2)+5t+3 , find (ds)/(dt)

Acceleration of particle moving in straight line can be written as a=(dv)/(dt)=v(dv)/(dx) . From the given graph find acceleration at x=20 m .

Heart leaks into a vessel, containing one mole of an ideal monoatomic gas at a constant rate of (R )/(4)s^(-1) where R is universal gas constatant. It is observed that the gas expands at a constant rate (dV)/(dt) = (V_(0))/(400("second")) where V_(0) is intial volume. The inital temperature is given by T_(0)=40K . What will be final temperature of gas at time t = 400 s .

Find the point on the Parabola y^(2) = 8 x such that ( dx)/( dt) = (dy)/( dt)