Answer:
1st: 0.04, 0.04, 0.25, 0.4
2nd: 0.06, 0.16, 0.6, 60
3rd: 0.07, 0.7, 0.075, 0.75, 7.5
4th: 0.02, 0.18, 0.2, 200
5th: 0.009, 0.09, 0.9, 0.95
6th, 0.1, 0.12, 1, 10
Step-by-step explanation:
One A
y = e^x
dy/dx = e^x The f(x) = the differentiated function. Any value that e^x can have, the derivative has the same value. x is contained in all the reals.
One B
y = x*e^x
y' = e^x + xe^x Using the multiplication rule.
You want the slope and the value of the of y to be the same. The slope is y' of the tangent line
xe^x = e^x + xe^x
e^x = 0
This happens only when x is very "small" like x = - 4444444
y = e^x * ln(x) Using the multiplication rule again, we need the slope of the line with is y'
y1 = e^x
y1' = e^x
y2 = ln(x)
y2' = 1/x
y' = e^x*ln(x) + e^x/x So at x = 1 the slope of the line =
y' = e^1*ln(1) + e^1/1
y' = e*0+e = e
y = mx + b
y = ex + b
to find b we use y= e^x ln(x)
e^x ln(x) = e*x + b
e^1 ln(1) = e*1 + b
ln(1) = 0
0 = e + b
b = - e
line equation and answer.
y = e*x - e
We have
To simplify it we can divide numerator and denumerator by the same number (the greatest possible is the best)
- its the simples form..
Answer:
x - 1
Step-by-step explanation:
3(3x + 3) - 2(5 + 4x)
9x + 9 -10 - 8x
x - 1
hope this helps!
