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Popular >

derivative of e^{x^2-4}+5x+6

Solution

\frac{d}{d x} (e^{x^{2} - 4} + 5 x + 6)

Solution

2 e^{x^{2} - 4} x + 5

Solution steps

\frac{d}{d x} (e^{x^{2} - 4} + 5 x + 6)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (e^{x^{2} - 4}) + \frac{d}{d x} (5 x) + \frac{d}{d x} (6)

\frac{d}{d x} (e^{x^{2} - 4}) = e^{x^{2} - 4} \cdot 2 x

\frac{d}{d x} (5 x) = 5

\frac{d}{d x} (6) = 0

= e^{x^{2} - 4} \cdot 2 x + 5 + 0

Simplify

= 2 e^{x^{2} - 4} x + 5

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Frequently Asked Questions (FAQ)

What is the derivative of e^{x^2-4}+5x+6 ?
The derivative of e^{x^2-4}+5x+6 is 2e^{x^2-4}x+5
What is the first derivative of e^{x^2-4}+5x+6 ?
The first derivative of e^{x^2-4}+5x+6 is 2e^{x^2-4}x+5