What is the derivative of 4+0.45*sin((2pit)/(3.7)) ?

The derivative of 4+0.45*sin((2pit)/(3.7)) is 0.76417…cos(1.69815…t)

What is the first derivative of 4+0.45*sin((2pit)/(3.7)) ?

The first derivative of 4+0.45*sin((2pit)/(3.7)) is 0.76417…cos(1.69815…t)

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derivative of

4 + 0.45 \cdot sin (\frac{2 π t}{3.7})

0.76417 \dots cos (1.69815 \dots t)

Solution steps

\frac{d}{d t} (4 + 0.45 sin (\frac{2 π t}{3.7}))

Simplify

4 + 0.45 sin (\frac{2 π t}{3.7}) : 4 + 0.45 sin (1.69815 \dots t)

= \frac{d}{d t} (4 + 0.45 sin (1.69815 \dots t))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d t} (4) + \frac{d}{d t} (0.45 sin (1.69815 \dots t))

\frac{d}{d t} (4) = 0

\frac{d}{d t} (0.45 sin (1.69815 \dots t)) = 0.76417 \dots cos (1.69815 \dots t)

= 0 + 0.76417 \dots cos (1.69815 \dots t)

Simplify

= 0.76417 \dots cos (1.69815 \dots t)

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What is the derivative of 4+0.45*sin((2pit)/(3.7)) ?
The derivative of 4+0.45*sin((2pit)/(3.7)) is 0.76417…cos(1.69815…t)
What is the first derivative of 4+0.45*sin((2pit)/(3.7)) ?
The first derivative of 4+0.45*sin((2pit)/(3.7)) is 0.76417…cos(1.69815…t)