What is the derivative of f(x)=sin(sin(8e^x)) ?

The derivative of f(x)=sin(sin(8e^x)) is cos(sin(8e^x))cos(8e^x)*8e^x

What is the first derivative of f(x)=sin(sin(8e^x)) ?

The first derivative of f(x)=sin(sin(8e^x)) is cos(sin(8e^x))cos(8e^x)*8e^x

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derivative of

f (x) = sin (sin (8 e^{x}))

cos (sin (8 e^{x})) cos (8 e^{x}) \cdot 8 e^{x}

Solution steps

\frac{d}{d x} (sin (sin (8 e^{x})))

Apply the chain rule:

cos (sin (8 e^{x})) \frac{d}{d x} (sin (8 e^{x}))

= cos (sin (8 e^{x})) \frac{d}{d x} (sin (8 e^{x}))

\frac{d}{d x} (sin (8 e^{x})) = cos (8 e^{x}) \cdot 8 e^{x}

= cos (sin (8 e^{x})) cos (8 e^{x}) \cdot 8 e^{x}

\int \frac{1}{u ^{2} - a ^{2}} d u

x^{8} (x - 4)^{7}

\frac{d}{d x} (cos (2^{3 x^{2} + 5 x - 6}))

(18 + x^{2}) y^{^{'}} - 2 x y = 0

y^{^{'}} = y (x y^{6} + 2)

What is the derivative of f(x)=sin(sin(8e^x)) ?
The derivative of f(x)=sin(sin(8e^x)) is cos(sin(8e^x))cos(8e^x)*8e^x
What is the first derivative of f(x)=sin(sin(8e^x)) ?
The first derivative of f(x)=sin(sin(8e^x)) is cos(sin(8e^x))cos(8e^x)*8e^x