HSC Arts इयत्ता ११ - Tamil Nadu Board of Secondary Education Question Bank Solutions for Mathematics

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 = e^-x . log x

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

y = (x² + 5) log(1 + x) e^–3x 

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

y = sin x⁰ 

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 = (x² + 4x + 6)⁵

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"^sqrt(x)`

Differentiate the following:
y = sin (e^x)

Differentiate the following:
F(x) = (x³ + 4x)⁷

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 = e^–mx 

Differentiate the following:
y = 4 sec 5x

Differentiate the following:
y = (2x – 5)⁴ (8x² – 5)^–3