Question

Let f(x) = 5x + tanh(x), where tanh x = sinh x /cosh x , and...

Let f(x) = 5x + tanh(x), where tanh x = sinh x /cosh x , and sinh x and cosh x is defined in question 1(b). Given that f(x) is one-to-one, use the linear approximation of( f −1 )(x) around a = 0 to estimate( f −1 )(0.2)

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find the derivative. f(x) = tanh(4 + e5x) Find the derivative. f(x) = x sinh(x) −...
Find the derivative. f(x) = tanh(4 + e5x) Find the derivative. f(x) = x sinh(x) − 4 cosh(x)
1)If f(x)=tanh(2x) then f'(x)= 2) If f(x)=x cosh x+7sin h x then f'(x)= 3) If f(x)=e^cosh(7x)...
1)If f(x)=tanh(2x) then f'(x)= 2) If f(x)=x cosh x+7sin h x then f'(x)= 3) If f(x)=e^cosh(7x) then f'(x)= 4) If f(x)=sinh8x then f'(x)= 5) If f(x)=tanh(8x) then f'(x)=
1) show that tanh-1(x) = 1/2 ln (1+x/1-x) 2) show that a) d/dx (cosh-1(x)) = 1/sqrt...
1) show that tanh-1(x) = 1/2 ln (1+x/1-x) 2) show that a) d/dx (cosh-1(x)) = 1/sqrt x2-1 b) d/dx (tanh-1(x)) = 1/1-x2 3) verify that y = A cosh(3x) + B sinh(3x) is a solution to the equation y''-9y = 0
i) lim x→3 (4x − 12)/x2-5x+6 ii)lim x→+∞ (e2x-1-x)/x2 iii)limx→0 (sinh(x2))/ cosh x-1 iv) limx→0 sin2x/sin7x
i) lim x→3 (4x − 12)/x2-5x+6 ii)lim x→+∞ (e2x-1-x)/x2 iii)limx→0 (sinh(x2))/ cosh x-1 iv) limx→0 sin2x/sin7x
Let f be the function defined by f(x)=cx−5x^2/2x^2+ax+b, where a, b, and c are constants. The...
Let f be the function defined by f(x)=cx−5x^2/2x^2+ax+b, where a, b, and c are constants. The graph of f has a vertical asymptote at x=1, and f has a removable discontinuity at x=−2. (a) Show that a=2 and b=−4. (b) Find the value of c. Justify your answer. (c) To make f continuous at x=−2, f(−2) should be defined as what value? Justify your answer. (d) Write an equation for the horizontal asymptote to the graph of f. Show the...
Let f(x) = cosh(x). Show that, on any interval [a, b], the arclength of f(x) in...
Let f(x) = cosh(x). Show that, on any interval [a, b], the arclength of f(x) in units, is equal to the area under f(x) in square units.
Hint if need to find ex 4.1^5 make f(x)= x^5, f'(x)= 5x^4, and plug in 4...
Hint if need to find ex 4.1^5 make f(x)= x^5, f'(x)= 5x^4, and plug in 4 to f(x), f'(x), and f''(x) to use the quadratic approximation Find f(x), f' (x), and f'' (x) to use the quadratic approximation Show step by step to understand. 1.Use quadratic approximation to... a.to estimate √66 ^3 to 3 decimal places if possible. b. to estimate ??? 46 degrees to 3 decimal places if possible. c. to estimate ??? 89 degrees to 3 decimal places...
Let f (x) = (5x − 1 )/(x+ 7) . Find f ' (x). First set...
Let f (x) = (5x − 1 )/(x+ 7) . Find f ' (x). First set up the limits and simplify the first one. Using equation (6) from Section 3.1 f'(x) = lim t→x   (simplify; no complex fraction). Using equation (2) from Section 3.2 f'(x) = lim h→0   (do not simplify). f'(x) =
1. Let f(x)=−x^2+13x+4 a.Find the derivative f '(x) b. Find f '(−3) 2. Let f(x)=2x^2−4x+7/5x^2+5x−9, evaluate...
1. Let f(x)=−x^2+13x+4 a.Find the derivative f '(x) b. Find f '(−3) 2. Let f(x)=2x^2−4x+7/5x^2+5x−9, evaluate f '(x) at x=3 rounded to 2 decimal places. f '(3)= 3. Let f(x)=(x^3+4x+2)(160−5x) find f ′(x). f '(x)= 4. Find the derivative of the function f(x)=√x−5/x^4 f '(x)= 5. Find the derivative of the function f(x)=2x−5/3x−3 f '(x)= 6. Find the derivative of the function g(x)=(x^4−5x^2+5x+4)(x^3−4x^2−1). You do not have to simplify your answer. g '(x)= 7. Let f(x)=(−x^2+x+3)^5 a. Find the derivative....
Given f(x) = tanx and a = π/4, 1. Find the equation of the line that...
Given f(x) = tanx and a = π/4, 1. Find the equation of the line that represents the linear approximation to the function f at the given value a = π/4 . 2.Use the linear approximation of f you found in previous question to estimate the function value f(π/5).
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT