Diffrentiate-y-x-3ln5-

Question Number 6233 by sanusihammed last updated on 19/Jun/16

D i f f r e n t i a t e y = x^{3 l n 5}

Answered by malwaan last updated on 19/Jun/16

y^{^{'}} = 3 l n 5 x^{3 l n 5 - 1}

Answered by uchechukwu okorie favour last updated on 10/Aug/16

a d d n a t u r a l l o g t o b o t h s i d e s

I n ∣ y ∣= I n ∣ x^{3 I n 5} ∣

I n ∣ y ∣= 3 I n 5 I n x

d i f f e r e n t i a t e b o t h s i d e s

\frac{1}{y} \frac{d y}{d x} = 3 I n 5 . \frac{1}{x}

w h e r e 3 I n 5 ⋍ 4.8283 (4 d . p)

\Rightarrow \frac{1}{y} \frac{d y}{d x} = \frac{4.8283}{x}

\Rightarrow \frac{d y}{d x} = \frac{4.8283}{x} \times y

w h e r e y = x^{3 I n 5}

\frac{d y}{d x} = \frac{4.8283}{x} \div x^{4.8283}

\frac{d y}{d x} = 4.8283 x^{4.8283 - 1}

\frac{d y}{d x} = 4.8283 x^{3.8283} o r 3 I n 5 x^{3 I n 5 - 1}