मराठी

If Y = Sin − 1 X + Cos − 1 X , Find D Y D X - Mathematics

Advertisements
Advertisements

प्रश्न

If `y = sin^-1 x + cos^-1 x , "find"  dy/dx`

बेरीज

उत्तर

`y = pi/2 ⇒ dy/dx = 0`

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
2018-2019 (March) 65/3/3

व्हिडिओ ट्यूटोरियलVIEW ALL [3]

संबंधित प्रश्‍न

Differentiate the following function with respect to x: `(log x)^x+x^(logx)`


 

If `y=log[x+sqrt(x^2+a^2)] ` show that `(x^2+a^2)(d^2y)/(dx^2)+xdy/dx=0`

 

Differentiate the function with respect to x.

(log x)x + xlog x


Differentiate the function with respect to x.

xsin x + (sin x)cos x


Evaluate 
`int  1/(16 - 9x^2) dx`


If `"x"^(5/3) . "y"^(2/3) = ("x + y")^(7/3)` , the show that `"dy"/"dx" = "y"/"x"`


If y = (log x)x + xlog x, find `"dy"/"dx".`


If log (x + y) = log(xy) + p, where p is a constant, then prove that `"dy"/"dx" = (-y^2)/(x^2)`.


If xy = ex–y, then show that `"dy"/"dx" = logx/(1 + logx)^2`.


If y = `x^(x^(x^(.^(.^.∞))`, then show that `"dy"/"dx" = y^2/(x(1 - logy).`.


If x = `asqrt(secθ - tanθ), y = asqrt(secθ + tanθ), "then show that" "dy"/"dx" = -y/x`.


If x = a cos3t, y = a sin3t, show that `"dy"/"dx" = -(y/x)^(1/3)`.


If x = sin–1(et), y = `sqrt(1 - e^(2t)), "show that"  sin x + dy/dx` = 0


Find the second order derivatives of the following : x3.logx


If y = log (log 2x), show that xy2 + y1 (1 + xy1) = 0.


If f(x) = logx (log x) then f'(e) is ______


If y = `25^(log_5sin_x) + 16^(log_4cos_x)` then `("d"y)/("d"x)` = ______.


If y = log [cos(x5)] then find `("d"y)/("d"x)`


If y = `(sin x)^sin x` , then `"dy"/"dx"` = ?


lf y = `2^(x^(2^(x^(...∞))))`, then x(1 - y logx logy)`dy/dx` = ______  


If y = tan-1 `((1 - cos 3x)/(sin 3x))`, then `"dy"/"dx"` = ______.


`d/dx(x^{sinx})` = ______ 


Derivative of `log_6`x with respect 6x to is ______


`8^x/x^8`


If y = `log ((1 - x^2)/(1 + x^2))`, then `"dy"/"dx"` is equal to ______.


If `"y" = "e"^(1/2log (1 +  "tan"^2"x")), "then"  "dy"/"dx"` is equal to ____________.


If y = `x^(x^2)`, then `dy/dx` is equal to ______.


If `log_10 ((x^2 - y^2)/(x^2 + y^2))` = 2, then `dy/dx` is equal to ______.


Find `dy/dx`, if y = (sin x)tan x – xlog x.


If xy = yx, then find `dy/dx`


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×