What is the derivative of e^{3x}-1-3x ?

The derivative of e^{3x}-1-3x is 3e^{3x}-3

What is the first derivative of e^{3x}-1-3x ?

The first derivative of e^{3x}-1-3x is 3e^{3x}-3

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

3 e^{3 x} - 3

Solution steps

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

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (e^{3 x}) - \frac{d}{d x} (1) - \frac{d}{d x} (3 x)

\frac{d}{d x} (e^{3 x}) = e^{3 x} \cdot 3

\frac{d}{d x} (1) = 0

\frac{d}{d x} (3 x) = 3

= e^{3 x} \cdot 3 - 0 - 3

Simplify

= 3 e^{3 x} - 3

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

\frac{d}{d x} (x^{5} - 20 x^{3} + 64 x)

\frac{d}{d x} (\frac{10 x ^{3}}{x ^{2} - 1})

\int \frac{( x ^{2} - 16 )}{x} d x

What is the derivative of e^{3x}-1-3x ?
The derivative of e^{3x}-1-3x is 3e^{3x}-3
What is the first derivative of e^{3x}-1-3x ?
The first derivative of e^{3x}-1-3x is 3e^{3x}-3