ellagibbons
Answered

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find the 5th derivative by using calculus with full workings of 7g^8+2g^7+4g^6+3g^5+g^2+5g+276.3

Sagot :

LammettHash

This is an exercise in applying the power rule, which says

[tex]f(x) = x^n \implies f'(x) = nx^{n-1}[/tex]

Starting with

[tex]7g^8 + 2g^7 + 4g^6 + 3g^5 + g^2 + 5g + 276.3[/tex]

we have

• first derivative

[tex]56g^7 + 14g^6 + 24g^5 + 15g^4 + 2g + 5[/tex]

• second derivative

[tex]392g^6 + 84g^5 + 120g^4 + 60g^3 + 2[/tex]

• third derivative

[tex]2352g^5 + 420g^4 + 480g^3 + 180g^2[/tex]

• fourth derivative

[tex]11760g^4 + 1680g^3 + 1440g^2 + 360g[/tex]

• fifth derivative

[tex]\boxed{47040g^3 + 5040g^2 + 2880g + 360}[/tex]

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