What is the derivative of f(x)=e^{2x}-6e^x+3 ?

The derivative of f(x)=e^{2x}-6e^x+3 is -6e^x+2e^{2x}

What is the first derivative of f(x)=e^{2x}-6e^x+3 ?

The first derivative of f(x)=e^{2x}-6e^x+3 is -6e^x+2e^{2x}

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derivative of

f (x) = e^{2 x} - 6 e^{x} + 3

- 6 e^{x} + 2 e^{2 x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (6 e^{x}) = 6 e^{x}

\frac{d}{d x} (3) = 0

= e^{2 x} \cdot 2 - 6 e^{x} + 0

Simplify

= - 6 e^{x} + 2 e^{2 x}

\frac{d}{d x} (y - sin (x))

\int_{- 8}^{8} x 64 - x^{2} d x

\int sin (4 t) sin (2 t) d t

\int \frac{2 x - 3}{x ^{3} + 3 x} d x

t e^{6 t}

What is the derivative of f(x)=e^{2x}-6e^x+3 ?
The derivative of f(x)=e^{2x}-6e^x+3 is -6e^x+2e^{2x}
What is the first derivative of f(x)=e^{2x}-6e^x+3 ?
The first derivative of f(x)=e^{2x}-6e^x+3 is -6e^x+2e^{2x}