If f(x)=sqrt(x^2-10 x+25) , then the der...

If `f(x)=sqrt(x^2-10 x+25)` , then the derivative of `f(x)` in the interval [0, 7] is (a) 1 (b) -1 (c) 0 (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

The function x^x decreases in the interval (a) (0,e) (b) (0,1) (c) (0,1/e) (d) none of these

If f(x)={(1-cos10 x)/(x^2) , x 0 , then the value of a so that f(x) may be continuous at x=0 , is (a) 25 (b) 50 (c) -25 (d) none of these

If f(x)=x+1/x ,\ \ x >0 , then its greatest value is -2 (b) 0 (c) 3 (d) none of these

If f(3x+2)+f(3x+29)=0x in R , then the period of f(x) is (a) 7 (b) 8 (c) 10 (d) none of these

Let f(x)=(x^(2))/(1-x^(2)),xne0,+-1 , then derivative of f(x) with respect to x, is

If f(x)=|sinx-|cosx||, then the value of f^'(x) at x=(7pi)/6 is (a) positive (b) (1-sqrt(3))/2 (c) 0 (d) none of these

Range of f(x) =sin^20x+cos^48x is (A) [0,1] (B) (0,1] (C) (0,oo) (D) none of these

If f(x)=1+1/x int_1^x f(t)dt , then the value of f(e^(-1)) is (a) 1 (b) 0 (c) -1 (d) none of these

If f(x)=1/(1-x), then the set of points discontinuity of the function f(f(f(x)))i s {1} (b) {0,1} (c) {-1,1} (d) none of these

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
|