Resolved: "Find the derivatives of the following function.f(x)=8x5+2x4−13x3f′(x)=" - Plainmath

Sinead Mcgee

Answered question

2021-09-30

Find the derivatives of the following function.
$f (x) = 8 x^{5} + 2 x^{4} - 13 x^{3}$
$f^{'} (x) =$

Answer & Explanation

Leonard Stokes

Skilled2021-10-01Added 98 answers

Step 1
Solution:
Given:

f (x) = 8 x^{5} + 2 x^{4} - 13 x^{3}

To find f'(x)
Formula:

\frac{d}{d x} (x^{n}) = n x^{n - 1}

Step 2

f (x) = 8 x^{5} + 2 x^{4} - 13 x^{3}

Differentiate with respect to x on both side

f^{'} (x) = 8 (5 x^{4}) + 2 (4 x^{3}) - 13 (3 x^{2})

= 40 x^{4} + 8 x^{3} - 39 x^{2}

f^{'} (x) = 40 x^{4} + 8 x^{3} - 39 x^{2}

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