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

The derivative of 3x^2-e^{2x} is 6x-e^{2x}*2

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

The first derivative of 3x^2-e^{2x} is 6x-e^{2x}*2

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

6 x - e^{2 x} \cdot 2

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (e^{2 x}) = e^{2 x} \cdot 2

= 6 x - e^{2 x} \cdot 2

\frac{d y}{d t} = - \frac{3 y}{t} - 2 - t^{- 4}

\frac{\partial}{\partial z} (cos (x y) + sin (yz))

\int sin^{3} (x) cos^{2} (x) d x

\int_{1}^{e^{2}} \frac{ln ^{5} ( x ^{2} )}{x} d x

f (x) = (4 x - 5) (3 x^{3} - x^{2} + 1)

What is the derivative of 3x^2-e^{2x} ?
The derivative of 3x^2-e^{2x} is 6x-e^{2x}*2
What is the first derivative of 3x^2-e^{2x} ?
The first derivative of 3x^2-e^{2x} is 6x-e^{2x}*2