How do you find an equation of the tangent line

Lorelai Woods

Lorelai Woods

Answered question

2022-02-10

How do you find an equation of the tangent line to the curve y=xx5 at x=3?

Answer & Explanation

sigcinweq0s

sigcinweq0s

Beginner2022-02-11Added 19 answers

You can use the formula: yf(x0)(xx0)
First you calculate
f(x)=5x4+1
f(3)=534+1=581+1=404
Next you calculate
f(3)=35+3=243+3=240
Now you substitute f'(3) and f(3) in the formula:
y+240=-404(x-3)
y+240=-404x+1212
y=-404x+972

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