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

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)`

Differentiate the following:
y = `sqrt(1 + 2tanx)`

Differentiate the following:
y = sin³x + cos³x

Differentiate the following:
y = sin²(cos kx)

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

Differentiate the following:

y = `"e"^(3x)/(1 + "e"^x`

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

Differentiate the following:
y = `"e"^(xcosx)`

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

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

Differentiate the following:

y = `sin^-1 ((1 - x^2)/(1 + x^2))`

Find the derivatives of the following:
y = `x^(cosx)`

Find the derivatives of the following:
y = `x^(logx) + (logx)^x`

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