Question: "Solve the derivatives of the following functions. f(x)=10x8−4x5+2x3−18x−9" - Plainmath

nitraiddQ

Answered question

2021-10-18

Solve the derivatives of the following functions.

f (x) = 10 x^{8} - 4 x^{5} + 2 x^{3} - 18 x - 9

Answer & Explanation

Clara Reese

Skilled2021-10-19Added 120 answers

Step 1
Given the function
Step 2

f (x) = 10 x^{8} - 4 x^{5} + 2 x^{3} - 18 x - 9

∵ \frac{d}{d x} (x^{n}) = n x^{n - 1}

\frac{d}{d x} (x) = 1

\frac{d}{d x} (c) = 0

Thus the derivative of given function

f^{'} (x) = 10 (8) x^{8 - 1} - 4 (5) x^{5 - 1} + 2 (3) x^{3 - 1} - 18 (1) - 0

f^{'} (x) = 80 x^{7} - 20 x^{4} + 6 x^{2} - 18

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