What is the derivative of e^{t/9}sin(t/9) ?

The derivative of e^{t/9}sin(t/9) is e^{t/9} 1/9 sin(t/9)+cos(t/9) 1/9 e^{t/9}

What is the first derivative of e^{t/9}sin(t/9) ?

The first derivative of e^{t/9}sin(t/9) is e^{t/9} 1/9 sin(t/9)+cos(t/9) 1/9 e^{t/9}

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derivative of

e^{\frac{t}{9}} sin (\frac{t}{9})

e^{\frac{t}{9}} \frac{1}{9} sin (\frac{t}{9}) + cos (\frac{t}{9}) \frac{1}{9} e^{\frac{t}{9}}

Solution steps

\frac{d}{d t} (e^{\frac{t}{9}} sin (\frac{t}{9}))

Apply the Product Rule:

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

f = e^{\frac{t}{9}}, g = sin (\frac{t}{9})

= \frac{d}{d t} (e^{\frac{t}{9}}) sin (\frac{t}{9}) + \frac{d}{d t} (sin (\frac{t}{9})) e^{\frac{t}{9}}

\frac{d}{d t} (e^{\frac{t}{9}}) = e^{\frac{t}{9}} \frac{1}{9}

\frac{d}{d t} (sin (\frac{t}{9})) = cos (\frac{t}{9}) \frac{1}{9}

= e^{\frac{t}{9}} \frac{1}{9} sin (\frac{t}{9}) + cos (\frac{t}{9}) \frac{1}{9} e^{\frac{t}{9}}

\int 8 (tan (8 x)) d x

\int_{- 1}^{1} (1 - x^{2}) d x

f (x) = x^{2} + 1, (4, 17)

h (x) = (x^{2} - 3 x + 2) (2 x^{3} + 1)

x^{3}, at x = - 1

What is the derivative of e^{t/9}sin(t/9) ?
The derivative of e^{t/9}sin(t/9) is e^{t/9} 1/9 sin(t/9)+cos(t/9) 1/9 e^{t/9}
What is the first derivative of e^{t/9}sin(t/9) ?
The first derivative of e^{t/9}sin(t/9) is e^{t/9} 1/9 sin(t/9)+cos(t/9) 1/9 e^{t/9}