Advertisements
Advertisements
प्रश्न
Choose the correct alternative:
If x = a sin θ and y = b cos θ, then `("d"^2y)/("d"x^2)` is
पर्याय
`"a"/"b"^2 sec^2 theta`
`- "b"/"a" sec^2 theta`
`- "b"/"a"^2 sec^3 theta`
`- "b"^2/"a"^2 sec^3 theta`
उत्तर
`- "b"/"a"^2 sec^3 theta`
APPEARS IN
संबंधित प्रश्न
Find the derivatives of the following functions with respect to corresponding independent variables:
f(x) = x sin x
Find the derivatives of the following functions with respect to corresponding independent variables:
y = `sinx/(1 + cosx)`
Differentiate the following:
y = tan 3x
Differentiate the following:
y = cos (tan x)
Differentiate the following:
y = `root(3)(1 + x^3)`
Differentiate the following:
y = e–mx
Differentiate the following:
f(x) = `x/sqrt(7 - 3x)`
Differentiate the following:
y = tan (cos x)
Differentiate the following:
y = `(sin^2x)/cos x`
Differentiate the following:
y = `sqrt(1 + 2tanx)`
Differentiate the following:
y = `"e"^(xcosx)`
Find the derivatives of the following:
`tan^-1sqrt((1 - cos x)/(1 + cos x)`
Find the derivatives of the following:
If y = etan–1x, show that (1 + x2)y” + (2x – 1)y’ = 0
Find the derivatives of the following:
If sin y = x sin(a + y), the prove that `("d"y)/("d"x) = (sin^2("a" + y))/sin"a"`, a ≠ nπ
Find the derivatives of the following:
If y = `(cos^-1 x)^2`, prove that `(1 - x^2) ("d"^2y)/("d"x)^2 - x ("d"y)/("d"x) - 2` = 0. Hence find y2 when x = 0
Choose the correct alternative:
The differential coefficient of `log_10 x` with respect to `log_x 10` is
Choose the correct alternative:
If y = `(1 - x)^2/x^2`, then `("d"y)/("d"x)` is
Choose the correct alternative:
If f(x) = `{{:(2"a" - x, "for" - "a" < x < "a"),(3x - 2"a", "for" x ≥ "a"):}` , then which one of the following is true?
Choose the correct alternative:
The number of points in R in which the function f(x) = |x – 1| + |x – 3| + sin x is not differentiable, is
