The total amount of money in circulation for the years 1990-2012 can be closely approximated by M(t) 0.05023t- 1.129t +38.73t+ 247.8, where t represents the number of years since 1990 and M(t) is in billions of dollars. Find the derivative of M(t) and use it to find the rate of change of money in circulation in the following years. b. 1995 a. 1992 c. 2010 d. 2012 e. What do your answers in parts a-d tell you about the amount of money in circulation in those years? billion per year a. The rate of change of money in circulation in 1992 was (Round to two decimal places as needed.)

Q: Find the derivative Of y=4e^-0.3t

A:

Q: Find the derivative of the function. f(t) = t2/3 − t1/3 + 4

A:

Q: Find the derivative of the function.

A: Given, y=1x2+53

Q: Find the derivative of the function.  y = x/√(x2 + 1)

A:

Q: Find the derivative of the function y=ax+ba+b, where a and b are constants.

A:

Q: Find the derivative of the function f (x)=x-2r.

A:

Q: Find the derivative of h(2) – (, ° ) Assume that a and b are constants.

A:

Q: Find the derivative of the function.

A: We have to find the derivative of the given function   The given function is

Q: Determine the derivative of a quadratic function of general form y=ax2+bx+c.

A:

Q: Find the derivative of f(x) = 2e%.

A:

Q: Use three-point midpoint formula to evaluate the first derivative of y = x² + 4x − 5 at x = 0 using…

A: The given problem is to find the first derivative of the given function at x=0 with given h value by…

Q: Use three-point midpoint formula to evaluate the first derivative of y = x² + 4x − 5 at x = 0 using…

A: Given that y=x2+4x−5. We have to find the first derivative of y=x2+4x−5 at x=0 using a value of h=14…

Q: Find the derivative of the function. h(t) = t2(3t + 7)3

A:

Q: Find the derivative of the function.

A: Given function - g(s) = 6s3-23g(s) = 6s3-2-3Differentiating on both sides with respect to 's' -…

Q: Find the derivative of the function. 1 g(t): (5t + 1)6 30 g'(t) = (5x +1)7

A: Explanation of the answer is as follows

Q: Use three-point midpoint formula to evaluate the first derivative of y = x – 4 at x of h = 5. O…

A: Find the first derivative of y=x3-4 at x=0 using the three-point midpoint formula with h=12.

Q: Find the derivative of the function. H(r)=(r^2-1)^3/(2r+1)^5

A:

Q: Find the derivative of the function. h(t) = t2(2t + 3)3

A:

Q: Find the derivative of the function. h(t) = (t5- 1)(312-5t-2) %3D

A:

Q: Of the two functions f and g in Figure , which is the derivative of the other? Justify your answer.

A: If the slope of a graph of a function is constant at a point, then the slope of the graph of its…

Q: find derivative of the function  h(t) = t2(8t + 7)3

A:

Q: Find the derivative of the function.

A:

Q: Find the derivative of the function .

A: The given function is  ft=t23-t13+4

Q: Find the derivative of the function. h(t) = (t3/t6+3)2

A:

Q: Find a function whose square plus the square of its derivative is 1.

A: To Find a function whose square plus the square of its derivative is 1.

Q: Find the derivative of the function. h(x) = (x12 - 1) ª %3D h'(x) =D

A:

Q: Find the derivative of the function. G(y) =  (y − 2)4 (y2 + 4y)5 G'(y) =

A: G(y)=(y-2)4(y2+4y)5 G'(y)=4(y-2)3(y2+4y)5+(y-2)4 5(y2+4y)4(2y+4)        =(y-2)3…

Q: Find the derivative of the function g(t) = ((2t - 1)2) / ((3t + 2)4 )

A: We will need quotient rule. So assume u and v:

Q: Use the definition of the derivative, to find the derivative of y (x) x +1 x + 4 (x + 4) 1 (x + 4) 3…

A:

Q: Find the derivative of the function. g(t) = (2t-2)2/(3t+6)4

A:

Q: Find the second derivative of the function. t° + 9t +5

A:

Q: Find the derivative of y=9e^(−0.9t)

A: We have to differentiate f(t) ,where f (t)  is given by

Q: Find the derivative of the linear fractional function y=ax+bcx+d.

A: We have to find the derivative of    y=ax+bcx+d ddxy=ddxax+bcx+dWe have to apply division rule…

Q: Find the derivative of the function. f(t) = (9t + 2)2/3

A: We have to find the derivative of the function f(t)=9t+223.

Q: Find the derivative of the function. f(x) = e!/(9x) f'(x) = %3D

A:

Q: Find the derivative of the function. 4x° + 6 y = y' = D %3D

A:

Q: What is the first-order derivative of y = x^y?

A:

Q: Find the derivative of the function. 8. 7t2 + t

A:

Q: Find the derivative of the function. y = 1/(x2 + 5)3

A: Solution:- The given function is  y=1(x2+5)3

Q: Find the derivative of the function C=25(11q^5−14)^8.

A: According to the differentiation rule the power comes down and reduces by one and then chain rule is…

Q: Find the derivative of the function. g(x) = ex5 - 2x g'(x) = %3D

A:

Q: Find the derivative of the function y = 3e^(13t-15)

A: Calculation:

Q: From the previous number, compute for the derivative value of the maximum magnitude. A. 20.4861 C.…

A: Find directional derivativeϕ=z sech-1y tan-1ln x in the direction of dx=2dy=-3dz at point e3, 0.5, 4…

Q: Find the derivative of the function. t2 (a) F(æ) = |7 1+t3

A:

Q: x2 b) g(x) = ex

A:

Q: Compute for the derivative of y = X - Choose the correct answer. 8 (x – 1)2 x - 1 | 12 -24 (x – 1)-3…

A:

Q: Find the derivative of f(x). f (x) = 2e*

A: f(x)=2ex Find the derivative f'x

Q: Find the derivative of the function. y = x(x2 + 1)

A: Given y = x(x2 + 1)

Q: Find the derivative of the function.   y=3e^8t+3

A: Given function;   Taking the first derivative;

Q: Find the derivative of the function. h(t) = (t5 – 1)(3t2 - 4t – 2) h'(t)

A: