What is the derivative of e^{-3x+4} ?

The derivative of e^{-3x+4} is -3e^{-3x+4}

What is the first derivative of e^{-3x+4} ?

The first derivative of e^{-3x+4} is -3e^{-3x+4}

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\frac{d}{d x} (e^{- 3 x + 4})

- 3 e^{- 3 x + 4}

Solution steps

\frac{d}{d x} (e^{- 3 x + 4})

Apply the chain rule:

e^{- 3 x + 4} \frac{d}{d x} (- 3 x + 4)

= e^{- 3 x + 4} \frac{d}{d x} (- 3 x + 4)

\frac{d}{d x} (- 3 x + 4) = - 3

= e^{- 3 x + 4} (- 3)

Simplify

= - 3 e^{- 3 x + 4}

f (x) = x^{23} + 50 x^{17} + 223

\int_{1}^{\infty} x^{- \frac{1}{7}} d x

\int \frac{x}{( x ^{2} + 2 ) ^{2}} d x

\frac{d}{d x} (0.01 x^{3} - 0.45 x^{2} + 2.43 x + 300)

\int_{1}^{2} \frac{2}{x} d x

What is the derivative of e^{-3x+4} ?
The derivative of e^{-3x+4} is -3e^{-3x+4}
What is the first derivative of e^{-3x+4} ?
The first derivative of e^{-3x+4} is -3e^{-3x+4}