Higher-order derivatives Find ƒ'(x), ƒ''(x), and ƒ'''(x) for the following functions.f(x)=x2−7x−8x+1

Step 1To find the higher order derivativesStep 2given thatf(x)=x2−7x−8x+1f′(x)=ddx(x2−7x−8x+1)=ddx(x−8)=1f″(x)=ddx(1)=0f'''(x)=0since f(x) is not defined at x=-1 therefore the derivatives are also not definde.

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Calculus and Analysis
Differential Calculus
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Answered question

2021-03-13

Higher-order derivatives Find ƒ'(x), ƒ''(x), and ƒ'''(x) for the following functions.

f (x) = \frac{x^{2} - 7 x - 8}{x + 1}

Answer & Explanation

Fatema Sutton

Skilled2021-03-15Added 88 answers

Step 1
To find the higher order derivatives
Step 2
given that

f (x) = \frac{x^{2} - 7 x - 8}{x + 1}

f^{'} (x) = \frac{d}{d x} (\frac{x^{2} - 7 x - 8}{x + 1})

= \frac{d}{d x} (x - 8)

f^{″} (x) = \frac{d}{d x} (1)

=0
f'''(x)=0
since f(x) is not defined at x=-1 therefore the derivatives are also not definde.

Jeffrey Jordon

Expert2022-01-31Added 2605 answers

Answer is given below (on video)

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