Find the differntial of each function. a) y=\tan\sqrt{7t}

slaggingV

slaggingV

Answered question

2021-10-21

Determine each function's differential.

a) y=tan7t 
b) y=3v23+v2

Answer & Explanation

BleabyinfibiaG

BleabyinfibiaG

Skilled2021-10-22Added 118 answers

Find the derivative of each function. Then solve for dy. For part (a), you need to use chain rule. For part (b), you need to use the quotient rule:
a) y=tan7t
y=tan(7t)12
dydt=sec2(7t)1212(7t)12(7)
=7sec27t27t
dy=7sec27t27tdt
b) y=3v23+v2
dydv=2v(3+v2)(3v2)(2v)(3+v2)2
=6v2v36v+2v3(3+v2)2
=12v(3+v2)2
dy=12v(3+v2)2dv

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