Question

differentiation of ln(1-5y²+y³)​

Answer 1

Answer:

$\huge \: \mathtt{ln(1 - 5 {y}^{2} + {y}^{3} )}$

$: \: \: \: \: \: \: \large \mathtt{ \frac{d(lny)}{dy} } \rightarrow \: \frac{1}{y} \times \frac{d(y)}{dy}$

$\large \mathtt{ \frac{1}{1 - 5{y}^{2} + {y}^{3} } \times \frac{d({1 - 5{y}^{2} + {y}^{3} })}{dy} }$

$\mathtt{Differentiating \:the \:term}$

$\large \mathtt{ \frac{1}{1 - 5{y}^{2} + {y}^{3} } \times( 0 - 10y + 3 {y}^{2}) }$

$\large \boxed{\mathtt{ answer \: \frac{( - 10y + 3 {y}^{2}) }{1 - 5{y}^{2} + {y}^{3} } }}$