How do you find the equation of the

Quinn Dean

Quinn Dean

Answered question

2022-04-16

How do you find the equation of the tangent line to the curve y=(3x-1)(2x+4) at the point of (0,-4)?

Answer & Explanation

mislifola5vo

mislifola5vo

Beginner2022-04-17Added 11 answers

Use the product rule to compute the first derivative:
dydx=d(3x1)dx(2x+4)+(3x1)d(2x+4)dx
dydx=3(2x+4)+2(3x1)
dydx=6x+12+6x2
dydx=12x+10
The slope of the tangent line, m, is the first derivative evaluated at x=0:
m=12(0)+10
m=10
Because the given point, (0, -4), is the y intercept, one can use the slope-intercept form to write the equation of the tangent line:
y=mx+b
y=10x-4

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