f(x) = x tan x , -π/2 < x < π/2?

Question

(a) Find the vertical and horizontal asymtotes
(b) Find the intervals of increase and decrease
(c) Find the local maximum and minimum values
(d) Find the intervals of concavity and the inflection points.

Answer 1

Hey where'd you get the pi symbol from?

Answer 2

(a)There would be no horizontal asymptotes; the vertical asymptotes occur when x=plus or minus pi/2--therefore, out of the range that you specified.

(b) The interval of increase is x>0; the interval of decreas is x<0.

(c)The local minimum is 0, occurring when x=0; there is no local maximum.

(d)The graph is concave up during the entire interval you specified.

Answer 3

(a) find where the derivative (use product rule) is equal to 0 or undefined. 0=h.a. undefined (infinity)=v.a.
(b) plug in x values between the v.a.'s and h.a.'s. if it evaluates to positive, it is increasing; negative - decreasing
(c) if part b changes from + to -, its a local max; - to +, its a local min
(d) take second derivative, set = 0 and solve for x (these are possible inflection points). then check the sign (+ or -). + means concave up and - means concave down. if it changes, it is an inflection point.

he's in cal a (cal i)

Answer 4

sin x = 3/5 draw a excellent angled triangle. Use pythagoras theorem and you come across the backside length of the triangle is 4. so as meaning cos x = 4/5, tan x = 3/4 given sin 2x = 2sinxcosx exchange in sinx and cosx = 2(3/5) ( 4/5) you will get your answer cos 2x = a million - 2sin²x = a million - 2(3/5)² you will get your answer tan 2x = (2tanx) / (a million-tan²x) exchange and you gets your answer :)

Answer 5

i'm sorry i can't help. i'm only in 10th grade. but wow.... these things are crazy! i am lost in math. i was never a math person from birth, but more of language and reading. guess i better start studying math then. its so hard. all these crazy questions ready to strike u.

Answer 6

Do your own homework. These questions are so easy. Use your brain.