What is the derivative of Ce^{4x} ?

The derivative of Ce^{4x} is Ce^{4x}*4

What is the first derivative of Ce^{4x} ?

The first derivative of Ce^{4x} is Ce^{4x}*4

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

C e^{4 x} \cdot 4

Solution steps

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

Treat

C

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the chain rule:

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

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

\frac{d}{d x} (4 x) = 4

= C e^{4 x} \cdot 4

\frac{d}{d x} ((x^{\frac{2}{3}}) (6 - x)^{\frac{1}{3}})

\int \frac{sin ( 5 x )}{5} d x

\frac{d}{d x} (- \frac{45}{8 ( 1 + x ) ^{\frac{7}{2}}})

y^{^{''}} - y^{^{'}} + y = 3 sin (t) - 27 e^{2 t}

\frac{1}{( s + 1 ) ( s - 1 )}

What is the derivative of Ce^{4x} ?
The derivative of Ce^{4x} is Ce^{4x}*4
What is the first derivative of Ce^{4x} ?
The first derivative of Ce^{4x} is Ce^{4x}*4