Advertisements
Advertisements
Question
If `y = sin^-1 x + cos^-1 x , "find" dy/dx`
Advertisements
Solution
`y = pi/2 ⇒ dy/dx = 0`
APPEARS IN
RELATED QUESTIONS
Differentiate the function with respect to x.
(x + 3)2 . (x + 4)3 . (x + 5)4
Differentiate the function with respect to x.
`(x + 1/x)^x + x^((1+1/x))`
Differentiate the function with respect to x.
(log x)x + xlog x
Find `(d^2y)/(dx^2)` , if y = log x
xy = ex-y, then show that `"dy"/"dx" = ("log x")/("1 + log x")^2`
Find `"dy"/"dx"` if y = xx + 5x
If ey = yx, then show that `"dy"/"dx" = (logy)^2/(log y - 1)`.
If x = 2cos4(t + 3), y = 3sin4(t + 3), show that `"dy"/"dx" = -sqrt((3y)/(2x)`.
If x = log(1 + t2), y = t – tan–1t,show that `"dy"/"dx" = sqrt(e^x - 1)/(2)`.
Find the second order derivatives of the following : x3.logx
Find the second order derivatives of the following : log(logx)
If y = log (log 2x), show that xy2 + y1 (1 + xy1) = 0.
Choose the correct option from the given alternatives :
If xy = yx, then `"dy"/"dx"` = ..........
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)`
The rate at which the metal cools in moving air is proportional to the difference of temperatures between the metal and air. If the air temperature is 290 K and the metal temperature drops from 370 K to 330 K in 1 O min, then the time required to drop the temperature upto 295 K.
`d/dx(x^{sinx})` = ______
`8^x/x^8`
If xm . yn = (x + y)m+n, prove that `"dy"/"dx" = y/x`
If y = `log ((1 - x^2)/(1 + x^2))`, then `"dy"/"dx"` is equal to ______.
Given f(x) = `log((1 + x)/(1 - x))` and g(x) = `(3x + x^3)/(1 + 3x^2)`, then fog(x) equals
The derivative of x2x w.r.t. x is ______.
If y = `9^(log_3x)`, find `dy/dx`.
If \[y=x^x+x^{\frac{1}{x}}\] then \[\frac{\mathrm{d}y}{\mathrm{d}x}\] is equal to
For which type of function is logarithmic differentiation especially useful?
After differentiating \[\log y=v(x)\cdot\log[u(x)]\], which equation is obtained?
For \[y=x^{\sin x}\], \[x>0\], what equation results after taking logarithm on both sides?
Which derivative correctly represents differentiating \[\ln y\] carefully?
