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Popular >

derivative of e^{(-5x^2-2x^2})

Solution

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

Solution

- 14 e^{- 7 x^{2}} x

Solution steps

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

Simplify

e^{(- 5 x^{2} - 2 x^{2})} : e^{- 7 x^{2}}

= \frac{d}{d x} (e^{- 7 x^{2}})

Apply the chain rule:

e^{- 7 x^{2}} \frac{d}{d x} (- 7 x^{2})

= e^{- 7 x^{2}} \frac{d}{d x} (- 7 x^{2})

\frac{d}{d x} (- 7 x^{2}) = - 14 x

= e^{- 7 x^{2}} (- 14 x)

Simplify

= - 14 e^{- 7 x^{2}} x

Popular Examples

d/(d{y)}(({y}-2({u)/y)}{{y}})

\frac{d}{d y} (\frac{y - 2 ( u y )}{y})

y^{^{''}} + 2 y = 18

inverse oflaplace 1/(s(s^2+s+5))inverse laplace

\frac{1}{s ( s ^{2} + s + 5 )}

tangent of 3/(x^2),\at x=1 tangent of

\frac{3}{x ^{2}}, at x = 1

derivative of 11x

\frac{d}{d x} (11 x)

Frequently Asked Questions (FAQ)

What is the derivative of e^{(-5x^2-2x^2}) ?
The derivative of e^{(-5x^2-2x^2}) is -14e^{-7x^2}x
What is the first derivative of e^{(-5x^2-2x^2}) ?
The first derivative of e^{(-5x^2-2x^2}) is -14e^{-7x^2}x