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find the derivatives of the given functions 5. g(x)=x^4+3x^3-8x-7
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repeated applications of the power rule \(\frac{d}{dx}x^n=nx^{n-1}\)
do you mean the answer is 8x-3
no, see your exponents, as follow as satellite73 suggested
you just have a straight polynomial, so the power rule by itself will do
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so what is ur answer
\(\huge ax^n = (n\times a)x^{n-1}\)
let's try the 1st term, you have \(\bf x^4\\ ax^n = (n\times a)x^{n-1}\\ 1x^4 = (1 \times 4)x^{4-1}\)
oh ok. i had 4x^3+9x^2 - 8
im i right?
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\(8x\\ ax^n = (n\times a)x^{n-1}\\ 8x^1 = (1 \times 8)x^{1-1}\\ x^0 = 1\\ 8\times 1 = 8 \) yes :)
and 7 is a constant and the derivative of a constant is 0
oh ok.fanks so much
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