If the function f defined on R-{0} os a ...

If the function f defined on R-{0} os a dIfferentiable function and `f(x^3)=x^5` for all x, then f'(27)=

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

DIFFERENTIATION
TARGET PUBLICATION|Exercise COMPETITIVE THINKING|138 Videos
DIFFERENTIAL EQUATIONS
TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos
INTEGRATION
TARGET PUBLICATION|Exercise EVALUATION TEST|29 Videos

Similar Questions

Explore conceptually related problems

Let f be a function defined for all x in R. If f is differentiable and f(x^(3))=x^(5) for all x in R(x!=0), then the value of f'(27) is-

Let f be a function defined for all x in R. If f is differentiable and f(x^3) =x^5for all x in R(x!=0), then the value of f(27) is (A) 15 (B) 45 (C) 0 (D) 35

If f:R rarr R is a differentiable function such that f(x)>2f(x) for all x in R and f(0)=1, then

If f is real-valued differentiable function such that f(x)f'(x)<0 for all real x, then

Let in x denote the logarithm of x with respect to the base e. Let S sub R be the set all points where the function In (x^(2)-1) is well- defined. Then the number of function f: S to R that are differentiable, satisfy f'(x)- " In" (x^(2)-1) for all x in S and f(2)=0, is

f(x)=int_0^x e^t f(t)dt+e^x , f(x) is a differentiable function on x in R then f(x)=

A function f:R rarr R" satisfies the equation f(x+y)=f(x)f(y) for all values of x" and "y and for any x in R,f(x)!=0 . Suppose the function is differentiable at x=0" and "f'(0)=2 , then for all x in R,f(x)=

if f:R rarr R is a differentiable function such that f'(x)>2f(x) for all x varepsilon R, and f(0)=1, then

Let f:R to R and g:R to R be differentiable functions such that f(x)=x^(3)+3x+2, g(f(x))=x"for all "x in R , Then, g'(2)=

Let f be a differentiable function defined on R such that f(0) = -3 . If f'(x) le 5 for all x then

TARGET PUBLICATION-DIFFERENTIATION -EVALUATION TEST

If 2x=y^(1/5)+y^(-1/5) then (x^2-1)(d^2y)/dx^2+xdy/dx=ky , then find t...
Text Solution
|
if sqrt(x^2+y^2)=ae^(tan^-1 (y/x)) , a > 0, (y(0) > 0) then y"(0) equa...
Text Solution
|
If f(x), g(x), h(x) are polynomials in x of degree 2 If F(x)=|[f,g,h],...
Text Solution
|
If y= cos ax and yn is n^(th) derivative of y, then |{:(y,y1,y2),(y3...
Text Solution
|
If y = sin[cos^(-1){sin(cos^(-1) x)}], "then" (dy)/(dx)" at x" = (1)/...
Text Solution
|
If 8f(x)+6f(1/x)=x+5 and y=x^2(f(x), then (dy)/(dx) at x=-1 is equal t...
Text Solution
|
If the function f defined on R-{0} os a dIfferentiable function and f(...
Text Solution
|
If the function f(x)=x^(3)+e^(x//2)andg(x)=f^(-1)(x), then the value ...
Text Solution
|
If y=f(x^3),z=g(x^5),f'(x)=tanx and g'(x)=sec x, then (dy)/(dz)=
Text Solution
|
If sqrt(1-x^6)+sqrt(1-y^6)=a(x^3-y^3),p rov et h a t(dy)/(dx)=(x^2)/(y...
Text Solution
|
Let fx) be a polynomial function of second degree. If f(1)= f(-1) and ...
Text Solution
|
If x=sectheta-costheta and y=sec^n theta- cos^n theta then show that (...
Text Solution
|
If f(x)=|{:(x,sinx,cosx),(x^2,tanx,x^3),(2x,sin2x,5x):}| then lim(x...
Text Solution
|
If g is the inverse of a function f and f'(x) = 1/(1+x^(5)), then g'(x...
Text Solution
|
If y=sinx[1/(sinxsin2x)+1/(sin2xsin3x)+...+1/(sinnx sin (n+1)x)]the...
Text Solution
|
if y=e^(sin^2x+sin^4x+sin^6x+............oo) then find (dy)/(dx)
Text Solution
|
If y=tan^(-1)1/(1+x+x^2)+tan^(-1)1/(x^2+3x+3)+tan^(-1)1/(x^2+5x+7)++ u...
Text Solution
|
If y=a sin (bx+c), then yn=
Text Solution
|
If f(x)=x^(n),"n" epsilon N, then the value of f(1)-(f^(')(1))/(1!)+(f...
Text Solution
|
If p=a^2cos^2theta+b^2 sin^2 theta, where a^2+b^2+c^2 ,then 4p+(d^2p)...
Text Solution
|