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

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

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

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

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\frac{d}{d x} (e^{s i n (x) + c o s (x)})

e^{s i n (x) + c o s (x)} (cos (x) - sin (x))

Solution steps

\frac{d}{d x} (e^{s i n (x) + c o s (x)})

Apply the chain rule:

e^{s i n (x) + c o s (x)} \frac{d}{d x} (sin (x) + cos (x))

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

\frac{d}{d x} (sin (x) + cos (x)) = cos (x) - sin (x)

= e^{s i n (x) + c o s (x)} (cos (x) - sin (x))

\frac{d}{d x} ((sin (20 x))^{3})

x + 3

\int_{- 1}^{- 4} \frac{1 - x ^{4}}{x ^{2}} d x

\frac{1}{x}

\frac{x}{1 - x}

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