Find Equation of Tangent Line

Discussion in 'Calculus' started by nycmathguy, Jun 17, 2022.

1. nycmathguy

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Calculus
Section 3.1

Can you do 40 as a guide for me to do the rest?
Show steps along the way.

Thank you.

nycmathguy, Jun 17, 2022

2. MathLover1

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40.

y=x^(1/4) -x at point (1,0)

first find the slope of tangent line

(dy/dx)(x^(1/4) -x )= 1/(4x^(3/4)) - 1

compute the slope at point (1,0)

m=1/(4*1^(3/4)) - 1= -3/4

so far, tangent line is: y= -(3/4)x +b

use point to calculate b:

0= -(3/4)1+b

0+3/4=b

b=3/4

tangent line is: y=-(3/4)x+3/4

MathLover1, Jun 17, 2022
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3. nycmathguy

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Easy enough when you provide steps as you did here.

nycmathguy, Jun 18, 2022
4. nycmathguy

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nycmathguy, Jun 18, 2022
5. MathLover1

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correct

MathLover1, Jun 18, 2022
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