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Popular >

derivative of-3*e^{x^2+x-1}

Solution

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

Solution

- 3 e^{x^{2} + x - 1} (2 x + 1)

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the chain rule:

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

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

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

= - 3 e^{x^{2} + x - 1} (2 x + 1)

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the derivative of-3*e^{x^2+x-1} ?
The derivative of-3*e^{x^2+x-1} is -3e^{x^2+x-1}(2x+1)
What is the first derivative of-3*e^{x^2+x-1} ?
The first derivative of-3*e^{x^2+x-1} is -3e^{x^2+x-1}(2x+1)