Home
Class 12
MATHS
If u = f ( x^(3)), v = g ( x^(2)) , f'...

If ` u = f ( x^(3)), v = g ( x^(2)) , f' (x) = cos x and g' (x) = sin x ` then ` ( du)/( d v)` is

A

`(3)/(2) x * cos x^(3) * cosec x^(3)`

B

` (2)/(3) sin x^(3) * sec x^(2)`

C

tan x

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If y = f ( x^(3)) , z = g ( x^(5)) , f' (x) = tan x and g' (x) = sec x, then find the value of lim_( x to 0) ( ( dy // dz))/( x)

Find f o g and g o f f(x) = |x| and g(x) = |5x -2|

If u = tan^(-1) (( sqrt(1- x^(2) ) - 1)/( x) ) and v = sin^(-1) x , then (du)/(dv) is equal to a) sqrt( 1- x^2) b) - (1)/(2) c)1 d)-x

If f(x)=8x^3 and g(x)=x^(1/3) , find g(f(x)) and f(g(x))

If f(x) = 3x + 5 and g(x) = x^(2) - 1 , then (fog) (x^(2) - 1) is equal to

Sajan finds the derivate of two functions f(x) = x^2 + cos x and g(x) = x^2 cos x as follows f(x) = x^2 + cos x , f'(x) = 2x - sin x, g (x) = x^2 cos x , g'(x) = 2x ( - sin x) Sajan makes a mistake in finding derivative of one of the functions. Identify that function and find out correct derivate of that function