Derivatives of constant multiples of functions Evaluate the following derivatives. \frac{d}{dt}(\frac{3}{8}\sqrt{t})

Miguel Reynolds

Miguel Reynolds

Answered question

2022-01-15

Derivatives of constant multiples of functions Evaluate the following derivatives.
ddt(38t)

Answer & Explanation

Mollie Nash

Mollie Nash

Beginner2022-01-16Added 33 answers

Step 1
Given:
ddt(38t)
Step 2
ddt(38t)
Take constant out:
=38ddt(t12)   (an=a1n)
Apply power rule: ddx(xn)=nxn1
=38(12t121)
=316(t12)
=316t12   (an=1an)
=316t   (an=a1n)

Jeffrey Jordon

Jeffrey Jordon

Expert2022-01-31Added 2605 answers

Answer is given below (on video)

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