Question

Differentiate y=log x-cosec x+5^x-3x^-3/2.​

Answer 1

Answer:

$y = log(x) - csc(x) + {5}^{x} - 3 {x}^{ - \frac{3}{2} } \\ \frac{dy}{dx} = \frac{1}{x} - ( - \csc(x) \cot(x) ) + {5}^{x} ln(5) - 3( \frac{ - 3}{2} ) {x}^{ \frac{ - 3}{2} - 1} \\ \frac{dy}{dx} = \frac{1}{x} + csc(x) \cot(x)+ {5}^{x} ln(5) + \frac{ 9}{2} {x}^{ \frac{ - 5}{2} }$