If y=(f(0)f(0)f)(x)andf(0)=0,f'(0)=2 the...

If `y=(f_(0)f_(0)f)(x)andf(0)=0,f'(0)=2` then `y'(0)` is equal to

A

6

B

7

C

8

D

9

Text Solution

Verified by Experts

The correct Answer is:

C

Topper's Solved these Questions

DIFFERENTIATION
ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|10 Videos
DIFFERENTIATION
ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|16 Videos
DIFFERENTIATION
ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos
DIFFERENTIAL EQUATION
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos
DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

Similar Questions

Explore conceptually related problems

Let f(x) be a differentiable function on x in R such that f(x+y)=f(x). F(y)" for all, "x,y . If f(0) ne 0, f(5)=12 and f'(0)=16 , then f'(5) is equal to

Let y=f(x) is a solution of differential equation e^(y)((dy)/(dx)-1)=e^(x) and f(0)=0 then f(1) is equal to

Let f(x+y)=f(x)*f(y) for all x y where f(0)!=0 .If f(5)=2 and f'(0)=3 then f'(5) is equal to

If y=f(x) satisfies f(x+1)+f(z-1)=f(x+z) AA x, z in R and f(0)=0 and f'(0)=4 then f(2) is equal to

If for a continuous function f,f(0)=f(1)=0,f'(1)=2 and y(x)=f(e^(x))e^(f(x)) ,then y'(0) is equal to a.1 b.2 c.0 d.none of these

If f (x+ y) = f(x) , f(y) , f(3) = 3 , f'(0) = 11 . Then f'(3) is equal to

Suppose that f is differentiable function with the property f(x+y)=f(x)+f(y) and lim_(x rarr0)(f(x))/(x)=100 ,then f'(2) is equal to N ,then the sum of digits of N is....

ARIHANT MATHS-DIFFERENTIATION -Exercise (More Than One Correct Option Type Questions)

f'(x) = g(x) and g'(x) =-f(x) for all real x and f(5)=2=f'(5) then f^2...
Text Solution
|
if f(x) = x +x^2/1! + x^3/3! +---+ x^n/n! then f(0) + f'(0) + f''(0) ...
Text Solution
|
If y=(f(0)f(0)f)(x)andf(0)=0,f'(0)=2 then y'(0) is equal to
Text Solution
|
If y^2=P(x) is a polynomial of degree 3, then 2(d/(dx))(y^2dot(d^2y)/(...
Text Solution
|
If y=f(x)andx=g(y) are inverse functions of each other, then
Text Solution
|
If y is a function of x then (d^2y)/(dx^2)+y \ dy/dx=0. If x is a func...
Text Solution
|
Leg g(x)=ln(f(x)), whre f(x) is a twice differentiable positive functi...
Text Solution
|
If the function f(x)=x^(3)+e^(x//2)andg(x)=f^(-1)(x), then the value ...
Text Solution
|
If f(theta) = sin(tan^(-1)(sintheta/sqrt(cos2theta))), where -pi/4 lt ...
Text Solution
|
If y=log(sinx)(tanx), then (dy)/ (dx) at x=(1)/(4) is equal to
Text Solution
|
If y=sum(r=1)^(x) tan^(-1)((1)/(1+r+r^(2))), then (dy)/(dx) is equal t...
Text Solution
|
If y=(sin^(-1)(sinalphasinx)/(1-cosalphasinx)), then y'(0) is equal to
Text Solution
|
If f(x)=cot^(-1)((x^(x)-x^(-x))/(2)) then f'(1) equals
Text Solution
|
The function f(x)=e^x+x , being differentiable and one-to-one, has a d...
Text Solution
|
If f^(x)=-f(x) and g(x)=f^(prime)(x) and F(x)=(f(x/2))^2+(g(x/2))^2 an...
Text Solution
|
If x=sectheta-costhetaandy=sec^(n)theta-cos^(n)theta, then (x^(2)+4 )(...
Text Solution
|
If x=f(t)cost-f^(prime)(t)sint and y=f(t)sint+f^(prime)(t)cost , then ...
Text Solution
|
If y=at^2+2bt-cand t = ax^2+2bx+c, then(d^3y)/(dx^3) equals
Text Solution
|
Differential coefficient of (x^((l+m)/(m-n)))^(1//(n-l))*(x^((m+n)/(n-...
Text Solution
|
if y=(A+Bx)e^(mx)+(m-1)^-1 e^x then (d^2y)/(dx^2)-2m(dy)/(dx)+m^2y is ...
Text Solution
|