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
Any rational root of f(x) is a factor of 9 divided by a factor of 12.
Given:
In triangle XYZ, x = 27 cm, y = 79 cm and 
.
To find:
The length of z.
Solution:
In triangle XYZ, using the Law of cosine, we get
Putting the given values in the above formula, we get
Taking square root on both sides.
Approx the above value to the nearest number and side length cannot be negative. So,
Therefore, the length of z is about 102 cm.
Answer:
D
Step-by-step explanation:
x² + 4 ≤ 2
- x + 4 < 2
Answer:
it will be $80.00 and your saving $20.00
Step-by-step explanation:
