Home
Class 12
MATHS
y=sec sqrt(x). Find dy/dx...

y=`sec sqrt(x)`. Find `dy/dx`

A

`(dy)/(dx)=(secsqrt(x).tansqrt(x))`

B

`(dy)/(dx)=(secsqrt(x).tansqrt(x))/(2sqrt(x))`

C

`(dy)/(dx)=(secsqrt(x).tansqrt(x))/(sqrt(x))`

D

`(dy)/(dx)=(secsqrt(x).tansqrt(x))/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Let `y=secsqrt(x)`
`therefore (dy)/(dx)=(d)/(dx)(secsqrt(x))`
`=secsqrt(x).tansqrt(x).(d)/(dx)sqrt(x)" "=secsqrt(x).tansqrt(x).(1)/(2sqrt(x))`
`therefore (dy)/(dx)=(secsqrt(x).tansqrt(x))/(2sqrt(x))`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Ex. 2 Solved Examples|3 Videos

  • DIFFERENTIATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Ex. 6 Solved Examples (Differentiate the following w.r.t. x)|2 Videos

  • DIFFERENTIATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MCQ|15 Videos

  • DIFFERENTIAL EQUATIONS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise M.C.Q|12 Videos

  • INTEGRATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Multiple Choice Questions|15 Videos

Similar Questions

Explore conceptually related problems

3) x sqrt(x)+y sqrt(y)=a sqrt(a) . Find dy/dx

y=sqrt(tan(tan x)) Find dy/dx

x=sinsqrt(t),y=e^(sqrt(t)) find dy/dx

If y=x^(sqrt(x)) find (dy)/(dx)

If x sqrt(1+y)+y sqrt(1+x)=0, find (dy)/(dx)* To prove (dy)/(dx)=-(1)/((1+x)^(2))

y=sqrt(x+sqrt(x+sqrt(x)...)) find dy/dx

x sqrt(x)+y sqrt(y)=a sqrt(a) then find (dy)/(dx)

If y=sqrt(e^sqrt(x)) then find (dy)/(dx)

If y = sec^(-1)((sqrtx-1)/(x+sqrt(3)))+ sin^(-1)((x+sqrt(3))/(sqrt(x)-1)) then find dy/dx