8. Find the derivative of the function f(x) = cos^2(x) + tan^2(x)
9. Find f '(x) for f(x) = xln(x) - 5ex.
10. Find f '(x) for f (x) = e(^lnx) + e^(x)ln(x)
11. Find the x-coordinate where the graph of the function f(x) = e^(-cosx) has a slope of 0.
12. If the slope of a strictly increasing function at the point (a, b) is 3, what is the slope of the inverse of the function at the point (b, a)?
13. If e^xy = 2, then what is dy/dx at the point (1, ln2)?
14. At what point(s) on the curve x^2 + y^2 = 9 is the tangent line vertical?
15. f(x)=sqrtsin(4x)
Find the slope. (1 point)
2
–
–2
Use the graph below to answer the following question.
2.
Find the slope of the line. Describe how one variable changes in relation to the other.
(1 point)
2; distance increases by 2 miles per hour
2; distance decreases by 2 miles per hour
; distance increases 1 mile every 2 hours
; distance decreases 1 mile every 2 hours
Use the graph below to answer the following question.
3.
Find the slope of the line. Describe how one variable changes in relation to the other.
(1 point)
; the amount of water decreases by 2 gallons every 3 minutes.
; the amount of water decreases by 2 gallons every 3 minutes.
; the amount of water decreases by 3 gallons every 2 minutes.
–1 ; the amount of water decreases by 1 gallon per minute.
The data in the table are linear. Use the table to find the slope.
4.
(1 point)
Graph the linear function in questions 5 and 6.
5.
y = x – 4 (1 point)
6.
y = –2x + 3 (1 point)
Identify the slope and y-intercept of the graph of the equation. Then graph the equation.
7.
y = x + 1
(1 point)
slope: ; y-intercept: –1
slope: ; y-intercept: 1
slope: ; y-intercept: –1
slope: ; y-intercept: 1
Identify the slope and y-intercept of the graph of the equation. Then graph the equation.
8.
y = –x + 1 (1 point)
slope: –; y-intercept: –1
slope: –; y-intercept: 1
slope: –; y-intercept: 1
slope: –; y-intercept: –1
1.c
2.a
3.b
4.b
5.c
6.c
7.c
8.b
Unit 2 lesson 6, this are the answers