Find the derivatives of
(i) `x^(9)` , (ii) `x^(-3)` , (iii)` 3sqrt(x)` , (iv) `1/(sqrt(x))`

Find the derivative of (i) 8x^(3) , (ii) 6sqrt(x) , (iii) 5e^(x) , (iv) 9 xx 2^(x)

Find the derivative (i) x^(1//3) (ii) (2)/(x^(3//2)) (iii) 3x^(-1//4)

Find the derivative (i) x^(1//3) (ii) (2)/(x^(3//2)) (iii) 3x^(-1//4)

Find the derivative of the following functions (i) x^(3) + cos x + sqrt(x) (ii) (sqrt(x) + 1)^(2) (iii) (x^(2) + 2x - 3)(x + 1)

Find the derivative of the following functions (i) x^(3) + cos x + sqrt(x) (ii) (sqrt(x) + 1)^(2) (iii) (x^(2) + 2x - 3)(x + 1)

Find the second derivative of : (i) x^(11)" "(ii)5^(x)" "(iii)tanx" "(iv)cos^(-1)x

Find the derivative of 1/sqrt(3x+1) at x=2.

Integrate with respect to x: i) sin^(2)x , ii) cos^(3)x , iii) sin2xcos3x , iv) 1/(sqrt(x+3)-sqrt(x+2))

Integrate with respect to x: i) sin^(2)x , ii) cos^(3)x , iii) sin2xcos3x , iv) 1/(sqrt(x+3)-sqrt(x+2))