Question

x³ - 3 cotx +5√x find the derivative w.r.t.x

Answer 1

Answer:

y=x^3-3cot +5√x

dy /dx =3x²+3cosec ²x+5/(2√x)

Answer 2

Answer:

${x}^{3} - 3 \cot x + 5 \sqrt{x} \\ = {x}^{3} - 3 \cot x + 5 {x}^{ \frac{1}{2} } \\ \color{blue}{ \underline{differentiate \: w.r.t \: x}} \\ \frac{d({x}^{3} - 3 \cot x + 5 {x}^{ \frac{1}{2} }) }{x} \\ \\ = \frac{d( {x}^{3} )}{dx} - \frac{d( 3 \cot x )}{dx} + \frac{d( 5 {x}^{ \frac{1}{2} } )}{dx} \\ \\ = 3 {x}^{2} - 3 \times ( - { \cosec}^{2} x) + 5 \times \frac{1}{2} {x}^{ - \frac{1}{2} } \\ \\ = 3 {x}^{2} + 3 { \cosec}^{2} x + \frac{5}{2 \sqrt{x} } \\ \\\red{\mathfrak{ \large{\underline{{Hope \: It \: Helps \: You}}}}} \\ \blue{\mathfrak{ \large{\underline{{Mark \: Me \: Brainliest}}}}}$