हिंदी
तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान कक्षा ११

Differentiate the following:y = sin2(cos kx) - Mathematics

Advertisements
Advertisements

प्रश्न

Differentiate the following:
y = sin2(cos kx)

योग

उत्तर

y = sin2(cos kx)

y = f(g(x)

`("d"y)/("d"x)` = f'(g(x)) . g'(x)

`("d"y)/("d"x)` = 2 sin(cos kx) × cos(cos kx) × – sin kx × k × 1

`("d"y)/("d"x)` = sin(2 cos kx) × – k sin kx

`("d"y)/("d"x)` = – k sin kx . sin(2 cos kx)

shaalaa.com
Differentiation Rules
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 10: Differential Calculus - Differentiability and Methods of Differentiation - Exercise 10.3 [पृष्ठ १६४]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
अध्याय 10 Differential Calculus - Differentiability and Methods of Differentiation
Exercise 10.3 | Q 23 | पृष्ठ १६४

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 = cos x – 2 tan x


Find the derivatives of the following functions with respect to corresponding independent variables:

g(t) = t3 cos t


Find the derivatives of the following functions with respect to corresponding independent variables:

y = `(tanx - 1)/secx`


Find the derivatives of the following functions with respect to corresponding independent variables:

y = cosec x . cot x


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


Find the derivatives of the following functions with respect to corresponding independent variables:

Draw the function f'(x) if f(x) = 2x2 – 5x + 3


Differentiate the following:
y = `root(3)(1 + x^3)`


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 = `(x^2 + 1) root(3)(x^2 + 2)`


Differentiate the following:

y = `5^((-1)/x)`


Differentiate the following:
y = (1 + cos2)6


Differentiate the following:
y = `sqrt(x +sqrt(x)`


Differentiate the following:
y = `sin(tan(sqrt(sinx)))`


Find the derivatives of the following:
`sqrt(x) = "e"^((x - y))`


Find the derivatives of the following:

`tan^-1 ((cos x + sin x)/(cos x - sin x))`


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×