Advertisements
Advertisements
प्रश्न
Find the derivatives of the following functions with respect to corresponding independent variables:
y = sin x0
Advertisements
उत्तर
y = sin x0
x0 = `pi/180 * x` Radians
y = `sin (pi/180 * x)`
`("d"y)/("d'x) = cos(pi/180 * x) * pi/180`
`("d"y)/("d"x) = pi/180 cos (pi/180 x)`
APPEARS IN
संबंधित प्रश्न
Find the derivatives of the following functions with respect to corresponding independent variables:
y = `sinx/(1 + cosx)`
Find the derivatives of the following functions with respect to corresponding independent variables:
y = x sin x cos x
Find the derivatives of the following functions with respect to corresponding independent variables:
y = log10 x
Differentiate the following:
y = cos (tan x)
Differentiate the following:
y = `"e"^sqrt(x)`
Differentiate the following:
h(t) = `("t" - 1/"t")^(3/2)`
Differentiate the following:
f(t) = `root(3)(1 + tan "t")`
Differentiate the following:
y = cos (a3 + x3)
Differentiate the following:
y = `x"e"^(-x^2)`
Differentiate the following:
y = `(sin^2x)/cos x`
Find the derivatives of the following:
y = `x^(logx) + (logx)^x`
Find the derivatives of the following:
(cos x)log x
Find the derivatives of the following:
tan (x + y) + tan (x – y) = x
Find the derivatives of the following:
If cos(xy) = x, show that `(-(1 + ysin(xy)))/(xsiny)`
Find the derivatives of the following:
`tan^-1sqrt((1 - cos x)/(1 + cos x)`
Choose the correct alternative:
`"d"/("d"x) (2/pi sin x^circ)` is
Choose the correct alternative:
If y = `1/4 u^4`, u = `2/3 x^3 + 5`, then `("d"y)/("d"x)` is
Choose the correct alternative:
If f(x) = `{{:("a"x^2 - "b"",", - 1 < x < 1),(1/|x|",", "elsewhere"):}` is differentiable at x = 1, then
