What is the derivative of s(t)=14+15sin(14pit) ?

The derivative of s(t)=14+15sin(14pit) is 210picos(14pit)

What is the first derivative of s(t)=14+15sin(14pit) ?

The first derivative of s(t)=14+15sin(14pit) is 210picos(14pit)

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derivative of

s (t) = 14 + 15 sin (14 π t)

210 π cos (14 π t)

Solution steps

\frac{d}{d t} (14 + 15 sin (14 π t))

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (14) + \frac{d}{d t} (15 sin (14 π t))

\frac{d}{d t} (14) = 0

\frac{d}{d t} (15 sin (14 π t)) = 210 π cos (14 π t)

= 0 + 210 π cos (14 π t)

Simplify

= 210 π cos (14 π t)

(x^{2} - 2 x y) d x + x d y = 0

sin^{2} (π t)

\int sin (\frac{π}{2}) d x

\int cot^{5} (x) \cdot csc^{3} (x) d x

8 \frac{d ^{2} y}{d x ^{2}} + 3 \frac{d y}{d x} + 9 y = 0

What is the derivative of s(t)=14+15sin(14pit) ?
The derivative of s(t)=14+15sin(14pit) is 210picos(14pit)
What is the first derivative of s(t)=14+15sin(14pit) ?
The first derivative of s(t)=14+15sin(14pit) is 210picos(14pit)