Mathematics: Find the differential of each function. (a) y = tan (5t)

Find the differential of each function. (a) y

iiwolfiexuni

11.03.2022

Alright, lets get started.

The given equation is :

y =tan (5t)

Differentiating with respect of t

$\frac{dy}{dt}=\frac{d}{dt}tan(5t)$

Derivative of tan is $sec^{2}$

But here we have tan (5t), so we have too use chain rule here

$\frac{dy}{dt}=\frac{d}{dt}(5t)*sec^{2} (5t)$

$\frac{dy}{dt}= 5*sec^{2}(5t)$

$\frac{dy}{dt}= 5sec^{2}(5t)$ : Answer

Hope it will help :)

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shanicar33500

20.10.2021

hiii friend

Step-by-step explanation:

: )

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