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14-05-2017
Mathematics

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Аноним Аноним · Answer 1 · 2017-05-14T19:21:34+02:00

The expression to differentiate includes [tex]cos(x)[/tex].

Remember that the derivative of [tex]cos(x)[/tex] is [tex]-sin(x)[/tex].

Put another way, [tex] \dfrac{d}{dx}[cos(x)]=- sin(x) [/tex]

[tex] \dfrac{d}{dx}[cos(x)-7x] [/tex]

[tex]\dfrac{d}{dx}[cos(x)]-7 \dfrac{d}{dx}(x) [/tex]

[tex]-sin(x) -7*1[/tex]

[tex]-sin(x)-7[/tex]

In conclusion, [tex]\dfrac{d}{dx}[\cos(x)-7x]=-\sin(x)-7[/tex]