Use the Chain Rule to calculate the derivatives of the following functions. y=\cos 5t

aortiH

aortiH

Answered question

2021-05-31

Use the Chain Rule to calculate the derivatives of the following functions.
y=cos5t

Answer & Explanation

Daphne Broadhurst

Daphne Broadhurst

Skilled2021-06-01Added 109 answers

Step 1
Given y=cos5t
To use The Chain Rule to calculate the derivatives of the above function.
Identity Used ddx(f(g(x)))=f(g(x))g(x),
Step 2
Explanation- Rewrite the given expression,
y=cos5t
As per the chain rule of derivative , solving as follows,
dydt=5sintddt(5t)
=sin5t5
=5sin5t
So, the derivative of the expression y=cos5t is 5sin5t.
Answer- the derivative of the expression y=cos5t is 5sin5t.

Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-25Added 2605 answers

Answer is given below (on video)

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