`(i)e^(cotx)" "(ii)e^(-sin 2x)" "(iii) e^(sqrt(sinx))`

Differentiate the following (i)e^(2//x)" "(ii)e^(sqrtx)" "(iii) e^(-2sqrtx)

Differentiate each of the following w.r.t. x: (i)e^(x^(2))" "(ii) e^(-3x)" "(iii) e^(cosx)

Integrate the following with respect to x. (i) e^(ax)cosbx (ii) e^(2x)sinx (iii) e^(-x)cos2x

e^(sinx)sin(e^(x))

Differentiate the following w.r.t x: (i) e^(-x) (ii) sin (log x), x gt 0 (iii) cos^(-1) (e^(x)) (iv) e^(cos x)

Differentiate : (i) (e^(x))/(x) , (ii) ((2x+3)/(x^(2) - 5)) , (iii) (e^(x))/((1+sinx))

Differentiate the following w.r.t. x:(i) e^(-x) (ii) sin (log x), x > 0 (iii) cos^(-1)(e^x) (iv) e^(cosx)

Find first derivative of y w.r.t. x. (i) y=e^(-x) , (ii) y=4 sin 3x , (iii) y=4e^(x^(2)-2x)

Find first derivative of y w.r.t. x. (i) y=e^(-x) , (ii) y=4 sin 3x , (iii) y=4e^(x^(2)-2x)