Advertisements
Advertisements
प्रश्न
If x = cos−1(t), y = `sqrt(1 - "t"^2)` then `("d"y)/("d"x)` = ______
पर्याय
t
– t
`(-1)/"t"`
`1/"t"`
Advertisements
उत्तर
t
संबंधित प्रश्न
Find `dy/dx`, if `sqrt(x) + sqrt(y) = sqrt(a)`.
Find `dy/dx`, if `xsqrt(x) + ysqrt(y) = asqrt(a)`.
Find `"dy"/"dx"` if xey + yex = 1
Find the second order derivatives of the following : `2x^5 - 4x^3 - (2)/x^2 - 9`
Find the second order derivatives of the following : xx
Find `"dy"/"dx"` if, y = `"e"^(5"x"^2 - 2"x" + 4)`
Find `"dy"/"dx"` if, y = `"a"^((1 + log "x"))`
Fill in the Blank.
If 3x2y + 3xy2 = 0, then `(dy)/(dx)` = ______.
State whether the following is True or False:
The derivative of polynomial is polynomial.
If f'(4) = 5, f(4) = 3, g'(6) = 7 and R(x) = g[3 + f(x)] then R'(4) = ______
If y = cos−1 [sin (4x)], find `("d"y)/("d"x)`
Suppose y = f(x) is a differentiable function of x on an interval I and y is one – one, onto and `("d"y)/("d"x)` ≠ 0 on I. Also if f–1(y) is differentiable on f(I), then `("d"x)/("d"y) = 1/(("d"y)/("d"x)), ("d"y)/("d"x)` ≠ 0
If y = `("e")^((2x + 5))`, then `("d"y)/("d"x)` is ______
State whether the following statement is True or False:
If y = ex, then `("d"y)/("d"x)` = ex
State whether the following statement is True or False:
If x2 + y2 = a2, then `("d"y)/("d"x)` = = 2x + 2y = 2a
Find `("d"y)/("d"x)`, if y = `root(5)((3x^2 + 8x + 5)^4`
If y = (sin x2)2, then `("d"y)/("d"x)` is equal to ______.
`"d"/("d"x) [sin(1 - x^2)]^2` = ______.
Given f(x) = `1/(x - 1)`. Find the points of discontinuity of the composite function y = f[f(x)]
Differentiate `sqrt(tansqrt(x))` w.r.t. x
If ex + ey = ex+y , prove that `("d"y)/("d"x) = -"e"^(y - x)`
If f(x) = |cos x|, find f'`((3pi)/4)`
If f(x) = |cos x – sinx|, find `"f'"(pi/6)`
If y = `sec^-1 ((sqrt(x) + 1)/(sqrt(x + 1))) + sin^-1((sqrt(x) - 1)/(sqrt(x) + 1))`, then `"dy"/"dx"` is equal to ______.
Differentiate the function from over no 15 to 20 sin (x2 + 5)
Let f(x) = log x + x3 and let g(x) be the inverse of f(x), then |64g"(1)| is equal to ______.
If f(x) = `{{:(x^3 + 1",", x < 0),(x^2 + 1",", x ≥ 0):}`, g(x) = `{{:((x - 1)^(1//3)",", x < 1),((x - 1)^(1//2)",", x ≥ 1):}`, then (gof) (x) is equal to ______.
Solve the following:
If`y=root(5)((3x^2+8x+5)^4),"find" (dy)/dx`
Find `dy/dx` if, y = `e^(5x^2 - 2x + 4)`
Solve the following:
If y = `root5((3x^2 + 8x + 5)^4)`, find `dy/dx`
If y = `root5((3x^2 + 8x + 5)^4)`, find `dy/dx`
If f(x) = `sqrt(7*g(x) - 3)`, g(3) = 4 and g'(3) = 5, find f'(3).
Solve the following:
If y = `root5((3x^2 +8x+5)^4`,find `dy/dx`
If y = `sqrt((1 - x)/(1 + x))`, then `(1 - x^2) dy/dx + y` = ______.
If y = `tan^-1((6x - 7)/(6 + 7x))`, then `dy/dx` = ______.
If y = f(u) is a differentiable function of u and u = g(x) is a differentiate function of x such that the composite function y = f[g(x)] is a differentiable function of x then prove that
`dy/dx = dy/(du) xx (du)/dx`
Hence find `dy/dx` if y = log(x2 + 5)
Find `dy/dx` if, y = `e^(5x^2 - 2x + 4)`
Solve the following:
If y = `root5((3x^2 + 8x + 5)^4)`, find `dy/dx`
If y = `root5((3x^2+8x+5)^4)`, find `dy/dx`
Find `dy/dx` if, `y=e^(5x^2-2x+4)`
Find `dy/dx` if, `y = e^(5x^2 - 2x+4)`
Solve the following.
If `y=root(5)((3x^2 + 8x + 5)^4)`, find `dy/dx`
Find `dy/(dx)` if, y = `e^(5x^2 - 2x + 4)`
Solve the following:
If y = `root5((3x^2 + 8x + 5)^4)`, find `dy/(dx)`.
