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:
x = 2
y = 4
z = 8
1. xy
10
2. x + z
8
3. z - y
4
4. x + y + z
14Step-by-step explanation:
Answer:
x=22
Step-by-step explanation:
Supplementary means that the two angles that are supplementary equal 180 degrees. 180-m<2=m<1
180-92=88 (m<2=92)
m<1=88
m<1=4x
4x=88
x=22
Answer:x=-5 and x=3
Step-by-step explanation:
log(x^2-15)=log(2x)
Cancel log at both sides we get
x^2-15=2x
Collect like terms
x^2-2x-15=0
x^2-3x+5x-15=0
x(x-3)+5(x-3)=0
(x+5)(x-3)=0
x+5=0 x-3=0
x=-5 x=3
