What is the derivative of e^{sin(3x}) ?

The derivative of e^{sin(3x}) is e^{sin(3x)}cos(3x)*3

What is the first derivative of e^{sin(3x}) ?

The first derivative of e^{sin(3x}) is e^{sin(3x)}cos(3x)*3

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\frac{d}{d x} (e^{s i n (3 x)})

e^{s i n (3 x)} cos (3 x) \cdot 3

Solution steps

\frac{d}{d x} (e^{s i n (3 x)})

Apply the chain rule:

e^{s i n (3 x)} \frac{d}{d x} (sin (3 x))

= e^{s i n (3 x)} \frac{d}{d x} (sin (3 x))

\frac{d}{d x} (sin (3 x)) = cos (3 x) \cdot 3

= e^{s i n (3 x)} cos (3 x) \cdot 3

y^{^{'}} - 2 y = 2 - 4 x

\frac{\partial}{\partial x} (\frac{- 18 x}{( x - y ) ^{4}})

y = 4 x^{3} - 2 x^{2} - 2 x

f (x) = \frac{100}{x ^{5}}

\frac{d}{d x} ((x - 1) ∣ x - 1 ∣)

What is the derivative of e^{sin(3x}) ?
The derivative of e^{sin(3x}) is e^{sin(3x)}cos(3x)*3
What is the first derivative of e^{sin(3x}) ?
The first derivative of e^{sin(3x}) is e^{sin(3x)}cos(3x)*3