Differentiate. sqrtx.w.r.t. x^2...

Differentiate.
`sqrtx`.w.r.t. `x^2`

Verified by Experts

Let `y=sqrtx`and`z=x^2`
`dy/dx=1/(2sqrtx)`and `dz/dx=2x`
Now `dy/dz=(dy/dx)/(dz/dx)=(1/(2sqrtx))/(2x)=1/(4x^(3//2)`

CONTINUITY AND DIFFERENTIABILITY
MBD PUBLICATION|Exercise QUESTION TYPE|4 Videos
CONIC SECTIONS
MBD PUBLICATION|Exercise QUESTION BANK|179 Videos
DETERMINATES
MBD PUBLICATION|Exercise QUESTION BANK|176 Videos

Similar Questions

Explore conceptually related problems

Differentiate. x^(sqrtx)

Differentiate. sinx.w.r.t.cotx

Differentiate e^(sqrt(x)) w.r.t. x.

Differentiate sinx^(2) w.r.t x^(2) .

Differentiate sqrtx(sqrtx+1)

Differentiate x^2sinx

Differentiate x^(sin x) w.r.t x.

Differentiate a^(lnx) w.r.t x ^(2) .

Differentiate. tan^(-1)x.w.r.t.tan^(-1)sqrt(1+x^2)

Differentiate a^(logx) w.r.t.x