Compute the derivative of <em>y</em> = (<em>x</em>² + <em>x</em> - 2)² using the chain rule:
d<em>y</em>/d<em>x</em> = 2 (<em>x</em>² + <em>x</em> - 2) d/d<em>x</em> [<em>x</em>² + <em>x</em> - 2]
d<em>y</em>/d<em>x</em> = 2 (<em>x</em>² + <em>x</em> - 2) (2<em>x</em> + 1)
Evaluate the derivative at <em>x</em> = -1 :
d<em>y</em>/d<em>x</em> (-1) = 2 ((-1)² + (-1) - 2) (2 (-1) + 1) = 4
This is the slope of the tangent line to the function at (-1, 4).
Use the point-slope formula to get the equation for the tangent line:
<em>y</em> - 4 = 4 (<em>x</em> - (-1)) → <em>y</em> = 4<em>x</em> + 8
the y-intercept would be -11 because slope-intercept formula is always like this; y = mx+b. b is y-intercept and m is slope. so therefore, it would be -11
Answer:
x-3 and y=2
Step-by-step explanation:
Answer:
-4 (5v -3v -6) -9v (use the distributive property)
-20v +12v +24 -9v (combine all like terms)
-17v +24
The answer is that my dad paints twice as fast as I do I paint 3/4 in 30 min. but my dad does it in 15 min. so he paints 2 time quicker then i do
