What is the derivative of e^{sin(2x)}+sin(e^{2x}) ?

The derivative of e^{sin(2x)}+sin(e^{2x}) is e^{sin(2x)}cos(2x)*2+cos(e^{2x})e^{2x}*2

What is the first derivative of e^{sin(2x)}+sin(e^{2x}) ?

The first derivative of e^{sin(2x)}+sin(e^{2x}) is e^{sin(2x)}cos(2x)*2+cos(e^{2x})e^{2x}*2

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derivative of

e^{s i n (2 x)} + sin (e^{2 x})

e^{s i n (2 x)} cos (2 x) \cdot 2 + cos (e^{2 x}) e^{2 x} \cdot 2

Solution steps

\frac{d}{d x} (e^{s i n (2 x)} + sin (e^{2 x}))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (e^{s i n (2 x)}) + \frac{d}{d x} (sin (e^{2 x}))

\frac{d}{d x} (e^{s i n (2 x)}) = e^{s i n (2 x)} cos (2 x) \cdot 2

\frac{d}{d x} (sin (e^{2 x})) = cos (e^{2 x}) e^{2 x} \cdot 2

= e^{s i n (2 x)} cos (2 x) \cdot 2 + cos (e^{2 x}) e^{2 x} \cdot 2

\frac{1}{1 + x ^{3}}, 0

\frac{d}{d x} (2 e^{4 x^{2}})

\frac{1}{4 s ^{3}}

x \to 1 lim (\frac{x - 1}{1 - x})

\int \frac{1}{( x ^{2} + 2 x + 3 ) ^{2}} d x

What is the derivative of e^{sin(2x)}+sin(e^{2x}) ?
The derivative of e^{sin(2x)}+sin(e^{2x}) is e^{sin(2x)}cos(2x)*2+cos(e^{2x})e^{2x}*2
What is the first derivative of e^{sin(2x)}+sin(e^{2x}) ?
The first derivative of e^{sin(2x)}+sin(e^{2x}) is e^{sin(2x)}cos(2x)*2+cos(e^{2x})e^{2x}*2