If f(x)=sqrt(x^2+6x+9) , then f^(prime)(...

If `f(x)=sqrt(x^2+6x+9)` , then `f^(prime)(x)` is equal to (a) `1` for `x<-3` (b) `-1` for `x<-3` (c) `1` for all `x in RR` (d) none of these

Text Solution

AI Generated Solution

Topper's Solved these Questions

DIFFERENTIALS, ERRORS AND APPROXIMATIONS
RD SHARMA ENGLISH|Exercise All Questions|107 Videos
DIRECTION COSINES AND DIRECTION RATIOS
RD SHARMA ENGLISH|Exercise All Questions|90 Videos

Similar Questions

Explore conceptually related problems

If f(x)=|x^2-9x+20| , then f^(prime)(x) is equal to (a) -2x+9 for all x in RR (b) 2x-9 if 4 < x < 5 (c) -2x+9 if 4 < x < 5 (d) None of these

If f(x)=x^(100)+x^(99)++x+1, then f^(prime)(1) is equal to

If f(x)=sqrt(x^(2)-2x+1), then f' (x) ?

If f(x) =(x-4)/(2sqrt(x)) , then f^(')(1) is equal to

If f(x)=1+x+(x^2)/2++(x^(100))/(100), then f^(prime)(1) is equal to

If f(x)=9x-x^(2) , x in R , then f(a+1)-f(a-1) is equal to

If f(x)=x^(100)+x^(99)+...+x+1, then f^(prime)(1) is equal to a. 5050 b. 5049 c. 5051 d. 50051

If f(x)=sqrt(1-sin2x), then f'(x) equals

If f(x)=x|x|, then prove that f^(prime)(x)=2|x|

RD SHARMA ENGLISH-DIFFERENTIATION-All Questions

Let U=sin^(-1)((2x)/(1+x^2)) and V=tan^(-1)((2x)/(1-x^2)) , then (d U)...
Text Solution
|
d/ dx { tan^ −1 ( cosx/ (1+sinx) ) } equals (a)1...
Text Solution
|
d/(dx)[log{e^x((x-2)/(x+2))^(3//4)}] equals (a) (x^2-1)/(x^2-4) (b...
Text Solution
|
If y=sqrt(sinx+y) , then (dy)/(dx)= (a)(sinx)/(2y-1) (b) (sinx)/(...
Text Solution
|
If 3sin(x y)+4cos(x y)=5 , then (dy)/(dx)= (a) y/x (b) (3sin(x y)+4...
Text Solution
|
If siny=xsin(a+y) , then (dy)/(dx) is (a)(sina)/(sina sin^2(a+y)) (...
Text Solution
|
The derivative of cos^(-1)(2x^2-1) with respect to cos^(-1)x is (a) ...
Text Solution
|
If f(x)=sqrt(x^2+6x+9) , then f^(prime)(x) is equal to (a) 1 for x<-3 ...
Text Solution
|
If f(x)=|x^2-9x+20| , then f^(prime)(x) is equal to (a) -2x+9 for all ...
Text Solution
|
If f(x)=sqrt(x^2-10 x+25) , then the derivative of f(x) in the inte...
Text Solution
|
If f(x)=|x-3| and g(x)=fof\ (x) , then for x > 10 , g^(prime)(x) is eq...
Text Solution
|
If f(x)=((x^l)/(x^m))^(l+m)((x^m)/(x^n))^(m+n)((x^n)/(x^l))^(n+l) , th...
Text Solution
|
If y=1/(1+x^(a-b)+x^(c-b))+1/(1+x^(b-c)+x^(a-c))+1/(1+x^(b-a)+x^(c-a)...
Text Solution
|
If sqrt(1-x^6) then find dy/dx
Text Solution
|
If y=logsqrt(tanx) , then the value of (dy)/(dx) at x=pi/4 is given by...
Text Solution
|
If sin^(-1)((x^2-y^2)/(x^2+y^2))=loga then (dy)/(dx) is equal to (a)...
Text Solution
|
If siny=xcos(a+y) , then (dy)/(dx) is equal to (a)(cos^2(a+y))/(cosa...
Text Solution
|
If y=log((1-x^2)/(1+x^2)) , then (dy)/(dx)= (a)(4x^3)/(1-x^4) (b) -(4...
Text Solution
|
If y=sqrt(sinx+y) , then (dy)/(dx) equals (a)(cosx)/(2y-1) (b) (cosx)/...
Text Solution
|
If y=tan^(-1)((sinx+cosx)/(cosx-sinx)) , then (dy)/(dx) is equal to (a...
Text Solution
|