What is the d/(dt)(e^{t/7}sin(t/7)) ?

The d/(dt)(e^{t/7}sin(t/7)) is e^{t/7} 1/7 sin(t/7)+cos(t/7) 1/7 e^{t/7}

What is the first d/(dt)(e^{t/7}sin(t/7)) ?

The first d/(dt)(e^{t/7}sin(t/7)) is e^{t/7} 1/7 sin(t/7)+cos(t/7) 1/7 e^{t/7}

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\frac{d}{d t} (e^{\frac{t}{7}} sin (\frac{t}{7}))

e^{\frac{t}{7}} \frac{1}{7} sin (\frac{t}{7}) + cos (\frac{t}{7}) \frac{1}{7} e^{\frac{t}{7}}

Solution steps

\frac{d}{d t} (e^{\frac{t}{7}} sin (\frac{t}{7}))

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = e^{\frac{t}{7}}, g = sin (\frac{t}{7})

= \frac{d}{d t} (e^{\frac{t}{7}}) sin (\frac{t}{7}) + \frac{d}{d t} (sin (\frac{t}{7})) e^{\frac{t}{7}}

\frac{d}{d t} (e^{\frac{t}{7}}) = e^{\frac{t}{7}} \frac{1}{7}

\frac{d}{d t} (sin (\frac{t}{7})) = cos (\frac{t}{7}) \frac{1}{7}

= e^{\frac{t}{7}} \frac{1}{7} sin (\frac{t}{7}) + cos (\frac{t}{7}) \frac{1}{7} e^{\frac{t}{7}}

\frac{\partial}{\partial x} (y + \frac{2}{x ^{2}})

7 x^{2} + x y + 7 y^{2} = 15, (1, 1)

x \to 0 + lim ((e^{x} + x)^{\frac{1}{x}})

x \to 3 lim (\frac{x ^{2} - 3}{x - 3})

\int \frac{20 x}{1 - x ^{4}} d x

What is the d/(dt)(e^{t/7}sin(t/7)) ?
The d/(dt)(e^{t/7}sin(t/7)) is e^{t/7} 1/7 sin(t/7)+cos(t/7) 1/7 e^{t/7}
What is the first d/(dt)(e^{t/7}sin(t/7)) ?
The first d/(dt)(e^{t/7}sin(t/7)) is e^{t/7} 1/7 sin(t/7)+cos(t/7) 1/7 e^{t/7}