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
Answer:
they are both 0 since they would not appear on a graph
Step-by-step explanation:
Answer:
1,000 different combinations are possible
Step-by-step explanation:
Because if youre lock ckntained 3 single digit numbers it would have to be 0-9 so each digit would have 10 options so there would be 1,000 different combinations that are possible.
Answer:
a = 11,390,625.
Step-by-step explanation:
a^x/6 = (a^1/6)^x
(a^1/6)^x = 15^x so:
a^1/6 = 15
1/6 ln a = ln 15
ln a = 6 ln 15
ln a = 16.2483
a = 11390625.
3/7 x+5=8
3/7 x=3
3x=21
x=7
The answer is (2)
