What is the derivative of x^3-5e^{2x} ?

The derivative of x^3-5e^{2x} is 3x^2-10e^{2x}

What is the first derivative of x^3-5e^{2x} ?

The first derivative of x^3-5e^{2x} is 3x^2-10e^{2x}

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\frac{d}{d x} (x^{3} - 5 e^{2 x})

3 x^{2} - 10 e^{2 x}

Solution steps

\frac{d}{d x} (x^{3} - 5 e^{2 x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (5 e^{2 x})

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

\frac{d}{d x} (5 e^{2 x}) = 10 e^{2 x}

= 3 x^{2} - 10 e^{2 x}

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

x \to 0.5 + lim (3 x)

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

\frac{d}{d x} (f (x) (x)^{- 1} (x))

x \to 1 lim (\frac{1}{( x - 1 ) ^{2}})

What is the derivative of x^3-5e^{2x} ?
The derivative of x^3-5e^{2x} is 3x^2-10e^{2x}
What is the first derivative of x^3-5e^{2x} ?
The first derivative of x^3-5e^{2x} is 3x^2-10e^{2x}