Question
Asked Nov 25, 2019
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Find the derivatives. SIMPLIFY to one fraction or integer
5.
a. g(t) 8t ln2 t
b. y cos(tan 0)
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Find the derivatives. SIMPLIFY to one fraction or integer 5. a. g(t) 8t ln2 t b. y cos(tan 0)

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Step 1

Part (a):

Find Derivative:

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g()&In2 Differentiate g with respect to t d g'(f) dt (84 In2r) g')=8d(rln2 (h2r) dt

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Step 2

Apply product rule,

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d g'(t)8In-t()+t- In 2, dt dt 21n(t) g'()8In2r (1)+ t g'r)=8In2f+21n(f) Simplify further, g()8In21+21n(r Apply log rule, g'(t)8n-t In t2

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Step 3

Part (b):

Find Derivative...

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ycos(tan Differentiate y with respect to theta d |cos (tan 0 y'= de

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Calculus

Derivative

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