HSC Arts Class 11 - Tamil Nadu Board of Secondary Education Question Bank Solutions

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 

Differentiate the following:

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

Differentiate the following:

y = `x"e"^(-x^2)`

Differentiate the following:

s(t) = `root(4)(("t"^3 + 1)/("t"^3 - 1)`

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