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Popular >

d/(dt)(3e^{sin(0.5t)}-4)

Solution

\frac{d}{d t} (3 e^{s i n (0.5 t)} - 4)

Solution

1.5 e^{s i n (0.5 t)} cos (0.5 t)

Solution steps

\frac{d}{d t} (3 e^{s i n (0.5 t)} - 4)

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (3 e^{s i n (0.5 t)}) - \frac{d}{d t} (4)

\frac{d}{d t} (3 e^{s i n (0.5 t)}) = 1.5 e^{s i n (0.5 t)} cos (0.5 t)

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

= 1.5 e^{s i n (0.5 t)} cos (0.5 t) - 0

Simplify

= 1.5 e^{s i n (0.5 t)} cos (0.5 t)

Graph

Popular Examples

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\frac{- 1}{( x + 1 )}

derivative of 2/(x^{-5)}derivative of

\frac{2}{x ^{- 5}}

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e^{0.5} t

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Frequently Asked Questions (FAQ)

What is the d/(dt)(3e^{sin(0.5t)}-4) ?
The d/(dt)(3e^{sin(0.5t)}-4) is 1.5e^{sin(0.5t)}cos(0.5t)
What is the first d/(dt)(3e^{sin(0.5t)}-4) ?
The first d/(dt)(3e^{sin(0.5t)}-4) is 1.5e^{sin(0.5t)}cos(0.5t)