f(x)=\frac{2-x}{3x+1} find f'(x)

fortdefruitI

fortdefruitI

Answered question

2021-05-13

f(x)=2x3x+1 find f'(x)

Answer & Explanation

Benedict

Benedict

Skilled2021-05-14Added 108 answers

Step 1
Consider the function:
f(x)=2x3x+1
Step 2
Differentiate the given function with respect to “x”
Apply quotient rules of derivatives,
f(x)=(3x+1)ddx(2x)(2x)ddx(3x+1)(3x+1)2
=(3x+1)(01)(2x)(3+0)(3x+1)2
=3x16+3x(3x+1)2
f(x)=7(3x+1)2

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