How do you find the slope of the

Blaine Jimenez

Blaine Jimenez

Answered question

2022-04-09

How do you find the slope of the tangent line y=(x+1)(x-2) at x=1?

Answer & Explanation

Emily Green

Emily Green

Beginner2022-04-10Added 14 answers

The slope of the tangent line is evaluated by computing yx=1
Let us differentiate y:
Applying the product rule of differentiation :
(uv)'=u'v+v'u
y'=(x+1)'(x-2)+(x-2)'(x+1)
y'=1(x-2)+1(x+1)
y'=x-2+x+1
y'=2x-1
The slope is yx=1, so let us substitute x=1 in y'
yx=1=2(1)1
yx=1=21=1
Therefore, the slope of the tangent line at x=1 is 1.

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