Mathematics, 25.03.2020 16:53 jakails828
What is the derivative of this function: F(x)=(5e^4x)+(e^-x^6)
Answers: 1
is calculated as follows: ![\dfrac{dF(x)}{dx}=\dfrac{d}{dx} [(5e^{4x})+(e^{-x^6})]](/tpl/images/0563/0508/3dbd4.png)
![\dfrac{dF(x)}{dx}=\dfrac{d}{dx} [(5e^{4x})]+\dfrac{d}{dx} [(e^{-x^6})]](/tpl/images/0563/0508/507e1.png)
![\dfrac{dF(x)}{dx}=5\dfrac{d}{dx} [(e^{4x})]+\dfrac{d}{dx} [(e^{-x^6})]](/tpl/images/0563/0508/70e56.png)
![\dfrac{d}{dx} [(e^{4x})]= \dfrac{d}{d(4x)} [(e^{4x})]+ \dfrac{d}{dx} [4x] = 4e^{4x},](/tpl/images/0563/0508/0963d.png)
![\dfrac{d}{dx} [(e^{-x^6})] = \dfrac{d}{d(-x^6)} [(e^{-x^6})]+\dfrac{d}{dx} [(-x^6})]= -6x^5e^{-x^6};](/tpl/images/0563/0508/d6735.png)
![\dfrac{dF(x)}{dx}=5\dfrac{d}{dx} [(e^{4x})]+\dfrac{d}{dx} [(e^{-x^6})] =5(4e^{4x})-6x^5e^{x^{-6}}](/tpl/images/0563/0508/3eb4c.png)
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What is the derivative of this function: F(x)=(5e^4x)+(e^-x^6)...
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