Home
Class 11
MATHS
If y = 5^(2(log(5)(x+1)-log(5)(3x+1)) th...

If `y = 5^(2(log_(5)(x+1)-log_(5)(3x+1))` then `(dy)/(dx)` at x = 0 is

A

0

B

`1/3`

C

`3/5`

D

`-4`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DIFFRENTATION

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I)(MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|13 Videos

  • DIFFRENTATION

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I)(LINKED COMPREHENSION TYPE QUESTIONS)|11 Videos

  • DIFFERENTIATION

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS |26 Videos

  • DIRECTION COSINES & RATIOS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|36 Videos

Similar Questions

Explore conceptually related problems

If y=log_(2) (log_2 x) , then (dy)/(dx)=

If y=log_(2)(log_(2)x)," then "dy/dx=

If y = log(tan 5x) , then find (dy)/(dx)

If y = log _(a) x + log _(x ) a + log _(x ) x + log _(a) a then (dy)/(dx) =

If y=log(tan5x), the find dy/dx .

If y = Tan^(-1)(log x) then find (dy)/(dx)

A: If y = x ^(y) then (dy)/(dx) = (y ^(2))/(x(1- log y )) If y = f (x) ^(y), then (dy)/(dx) = (y ^(2) f '(x))/(f (x) [1- ylog f (x)])= (y ^(2) f'(x))/(f (x) [1- log y])