|x| = 6
{ x= 6
{ x= -6
X= { 6,-6}
Answer:
3, in both a), b)
Step-by-step explanation:
a) The slope of the line tangent to the curve that passes through the point (2,-10) is equal to the derivative of p at x=2.
Using differentiation rules (power rule and sum rule), the derivative of p(x) for any x is . In particular, the value we are looking for is .
If you would like to compute the equation of the tangent line, we can use the point-slope equation to get
b) The instantaneus rate of change is also equal to the derivative of P at the point x=2, that is, P'(2). This is equal to .
5/4, 8, and 15
5/4= 1.25√1.25=1.118033989....
√8= 2.828427125.....
√15= 3.872983346...
100% - 75 %= 25% ($48 is 25 percent of the original price)
finding original price = price after discount / percentage
= $48 ÷25%
=$48 × 100/25
=$48 × 4/1
=$192 (original price)