हिंदी

If f'(x) = x–1, then find f(x) - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

If f'(x) = x–1, then find f(x)

योग
Advertisements

उत्तर

Given, f'(x) = `1/x`

On integrating both sides, we get

f(x) = logx + C

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
2021-2022 (March) Set 1

वीडियो ट्यूटोरियलVIEW ALL [3]

संबंधित प्रश्न

If `sin^-1(1-x) -2sin^-1x = pi/2` then x is

  1. -1/2
  2. 1
  3. 0
  4. 1/2
 

Show that `2sin^-1(3/5) = tan^-1(24/7)`


Find the principal value of the following:

`cos^(-1) (sqrt3/2)`


Find the principal value of the following:

`cos^(-1) (-1/2)`


Find the value of the following:

`cos^(-1) (1/2) + 2 sin^(-1)(1/2)`


`sin^-1  1/2-2sin^-1  1/sqrt2`


`sin^-1{cos(sin^-1  sqrt3/2)}`


If `sin^-1 x + sin^-1 y+sin^-1 z+sin^-1 t=2pi` , then find the value of x2 + y2 + z2 + t2 


Prove that:
cot−1 7 + cot​−1 8 + cot​−1 18 = cot​−1 3 .


Evaluate: tan `[ 2 tan^-1  (1)/(2) – cot^-1 3]`


In ΔABC, if a = 18, b = 24, c = 30 then find the values of A(ΔABC)


Find the principal value of the following: cosec- 1(2)


Evaluate the following:

`tan^-1(1) + cos^-1(1/2) + sin^-1(1/2)`


`tan^-1(tan  (7pi)/6)` = ______


Find the principal value of the following:

cosec-1 (2)


Show that `sin^-1 (- 3/5) - sin^-1 (- 8/17) = cos^-1 (84/85)`


Choose the correct alternative:
cos 2θ cos 2ϕ+ sin2 (θ – ϕ) – sin2 (θ + ϕ) is equal to


The value of 2 `cot^-1  1/2 - cot^-1  4/3` is ______ 


If `sin^-1  3/5 + cos^-1  12/13 = sin^-1 P`, then P is equal to ______ 


If 2tan-1 (cos x) = tan-1 (cosec2 x), then x = ______.


If `tan^-1x + tan^-1y = (4pi)/5`, then `cot^-1x + cot^-1y` equals ______.


The domain of the function y = sin–1 (– x2) is ______.


The equation tan–1x – cot–1x = `(1/sqrt(3))` has ______.


Solve the following equation `cos(tan^-1x) = sin(cot^-1  3/4)`


Show that `sin^-1  5/13 + cos^-1  3/5 = tan^-1  63/16`


All trigonometric functions have inverse over their respective domains.


`"tan"^-1 (sqrt3)`


`"cos"^-1 ["cos" (2  "cot"^-1 (sqrt2 - 1))] =` ____________.


`"tan"(pi/4 + 1/2 "cos"^-1 "x") + "tan" (pi/4 - 1/2 "cos"^-1 "x") =` ____________.


3 tan-1 a is equal to ____________.


If `"sin"^-1("x"^2 - 7"x" + 12) = "n"pi, AA  "n" in "I"`, then x = ____________.


If `"cot"^-1 (sqrt"cos" alpha) - "tan"^-1 (sqrt "cos" alpha) = "x",` then sinx is equal to ____________.


The number of solutions of sin–1x + sin–1(1 – x) = cos–1x is


What is the value of `sin^-1(sin  (3pi)/4)`?


`sin(tan^-1x), |x| < 1` is equal to


`tan^-1  (1 - x)/(1 + x) = 1/2tan^-1x, (x > 0)`, x then will be equal to.


Value of `sin(pi/3 - sin^1 (- 1/2))` is equal to


Find the principal value of `cot^-1 ((-1)/sqrt(3))`


`cot^-1(sqrt(cos α)) - tan^-1 (sqrt(cos α))` = x, then sin x = ______.


If ax + b (sec (tan–1 x)) = c and ay + b (sec.(tan–1 y)) = c, then `(x + y)/(1 - xy)` = ______.


If tan–1 (2x) + tan–1 (3x) = `π/4`, then x = ______.


The value of `cos^-1(cos(π/2)) + cos^-1(sin((2π)/2))` is ______.


If 2 tan–1 (cosx) = tan–1 (2 cosec x), then sin x + cos x is equal to ______.


If tan 4θ = `tan(2/θ)`, then the general value of θ is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×