What is the derivative of cos(e^{4x}) ?

The derivative of cos(e^{4x}) is -sin(e^{4x})e^{4x}*4

What is the first derivative of cos(e^{4x}) ?

The first derivative of cos(e^{4x}) is -sin(e^{4x})e^{4x}*4

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

- sin (e^{4 x}) e^{4 x} \cdot 4

Solution steps

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

Apply the chain rule:

- sin (e^{4 x}) \frac{d}{d x} (e^{4 x})

= - sin (e^{4 x}) \frac{d}{d x} (e^{4 x})

\frac{d}{d x} (e^{4 x}) = e^{4 x} \cdot 4

= - sin (e^{4 x}) e^{4 x} \cdot 4

f (x) = \frac{7 x ^{2} - 6 x + 1}{3 x + 2}

\frac{d ^{2}}{d x ^{2}} (3 + 5 x + 2 x^{2} + 0.4 x^{3})

y^{^{''}} + 9 y = 2 sin (3 x)

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

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

What is the derivative of cos(e^{4x}) ?
The derivative of cos(e^{4x}) is -sin(e^{4x})e^{4x}*4
What is the first derivative of cos(e^{4x}) ?
The first derivative of cos(e^{4x}) is -sin(e^{4x})e^{4x}*4