What is the derivative of (x+2)^3-e^{3x} ?

The derivative of (x+2)^3-e^{3x} is 3(x+2)^2-e^{3x}*3

What is the first derivative of (x+2)^3-e^{3x} ?

The first derivative of (x+2)^3-e^{3x} is 3(x+2)^2-e^{3x}*3

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derivative of

(x + 2)^{3} - e^{3 x}

3 (x + 2)^{2} - e^{3 x} \cdot 3

Solution steps

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

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} ((x + 2)^{3}) - \frac{d}{d x} (e^{3 x})

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

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

= 3 (x + 2)^{2} - e^{3 x} \cdot 3

What is the derivative of (x+2)^3-e^{3x} ?
The derivative of (x+2)^3-e^{3x} is 3(x+2)^2-e^{3x}*3
What is the first derivative of (x+2)^3-e^{3x} ?
The first derivative of (x+2)^3-e^{3x} is 3(x+2)^2-e^{3x}*3