What is the derivative of 5 cos x?

Zachariah Ferrell

Zachariah Ferrell

Answered question

2023-03-24

What is the derivative of 5 cos x ?

Answer & Explanation

anajusthings5mrf

anajusthings5mrf

Beginner2023-03-25Added 10 answers

Explanation:
Use the standard derivative
x d d x ( cos x ) = - sin x
d d x ( 5 cos x ) = - 5 sin x
chicka152m0w3

chicka152m0w3

Beginner2023-03-26Added 6 answers

Answer: - 5 sin x
Explanation: One function is applied to another in the function 5 cos x.
the function 5x is being applied to the result of the function cos x, to give 5 cos x.
the functions can be separately differentiated:
Δ y Δ x ( cos x ) = - sin x
Δ y Δ x ( 5 x ) = 5
The derivatives can then be multiplied together:
Δ y Δ x ( cos x ) Δ y Δ x ( 5 x ) = 5 - sin x
Thus, = - 5 sin x

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