Home
Class 11
PHYSICS
Find first derivation of y w.r.t. x. (i)...

Find first derivation of y w.r.t. x. (i) `y=x^(2) sin x` , (ii) `y=4(e^(x))cos x`

Text Solution

Verified by Experts

(i) `(dy)/(dx)=x^(2)(cos x)+(2x)(sin x)=x^(2) cos x+ 2xsin x`
(ii) `(dy)/(dx)=4[(e^(x))(cos x)+(e^(x))(-sin x)]=4e^(x)[cos x-sin x]`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS

    ALLEN|Exercise Part -II Example|61 Videos

  • MISCELLANEOUS

    ALLEN|Exercise Part -II Example Some worked out Examples|1 Videos

  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN|Exercise BEGINNER S BOX-7|8 Videos

  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN|Exercise EXERCISE-IV|8 Videos

Similar Questions

Explore conceptually related problems

Find first derivative of y w.r.t. x. (i) y=e^(-x) , (ii) y=4 sin 3x , (iii) y=4e^(x^(2)-2x)

Find differentiation of y w.r.t x. (i) y=(sin x)/x , (ii) y=(4x^(3))/e^(x)

Find differentiation of y w.r.t x. (i) y=x^(2)-6x (ii) y=x^(5)+2e^(x) (iii) y=4 ln x +cos x

Find derivative of e^(cos x) w.r.t.to x

Find derivative of cos(sin x) w.r.t.to x

Find derivative of sin(x^(2)) w.r.t.to x

Find derivative of sin(x^(2)+5) w.r.t.to x

Derivative of e^(x) cosx w.r.t. e^(-x) sin x is

Find the derivative of the following w.r.t. x : x-y=pi

The derivative of y=x^(2^(x)) w.r.t. x is