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

Miguel Reynolds 2022-01-15 Answered
Derivatives of constant multiples of functions Evaluate the following derivatives.
ddt(38t)
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Mollie Nash
Answered 2022-01-16 Author has 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)

Not exactly what you’re looking for?
Ask My Question
Jeffrey Jordon
Answered 2022-01-31 Author has 2027 answers

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more