Differentiate the following function. f(x) = (x+2) e-6x +1 f'(x) = (Type your answer in factored form.)

Q: The temperature in degrees fahrenheit of a person during an illness is given by the function T(t)=…

A: Given,  T(t)= -0.01t2- 0.2t +102.5 Now differentiating the  T(t) with respect to t to find the…

Q: Find bn if the function f(x)=x^2.

A: bn-fx=x2 Fourier series of                     fx=x2   is                     fx=902+∑n=1∞an…

Q: Find f. 36x2, f(1) 15 f "(x) = 10 + 6x + f(0) 4, f(x)

A: Given,

Q: -4 3 2 -1 -4 -3 -2 -1 1 2 4 -1 -2 -3 --4 3.

A: To find f(2) using the given graph.

Q: Differentiate the function f(x) =x*(1– 4x²)³. Express your answer in simplified, factored %3D Torm.

A: We can find the answer as below.

Q: Complete the table of values for the function f(x)=−1/4x^2   x f(x)=−1/4x^2 −4   −2   0   2   4

A: f(x)=−1/4x^2

Q: Given the function f(x)

A: Given,          f(x)=3x2-5x+3

Q: 16. f" (x) = x² + p3 %3D

A: The given function is f''x=x2+x3. The function f(x) can be obtained by integrating the given…

Q: For the problem, find a.  f of g  b. g of f  c. f of f d. g of g f(x) = 3x+1 and g(x) = x^2

A: To determine the expressions for the composite functions.

Q: Find the inflection points for the function f(x) = 2x6 + 3x5 – 10x*. -

A: Note :- Inflexian points of a function can be calculate by putting f"(x) =0 and solve for x.  We get…

Q: Differentiate f (x)  = 10e(-x - 2)/5

A: Given,           fx=10e-x-25

Q: -2 -1 0 1 3 5 6

A:

Q: Find f. f"(x) = 6 + 6x + 36x², f(0) = 3, f(1) = 14

A:

Q: If y = f(x) is the solution of y" – 9y" +26y' – 24y = 0, f(0) = 4, f'(0) = 15, f" (0) = 44, then

A:

Q: The following limit represents the derivative of a functionf at a point a. 5 tan 6. V3 f '(a) = =…

A:

Q: Draw y² = f(x) 1+ (1,-1) 2 (2.5,1)

A: We have draw the graph of y2=f(x)The procedure is given below

Q: Find the difference quotient for each of the following functions and reduce to lowest terms A.…

A:

Q: Find the first and second differences of equation f(x) = 10 – (4 – x)^2. Is it a quadratic function?

A:

Q: Find p(- 2) and p(3) for function p(x) = x ^ 3 - x ^ 5

A: We have given function as  p(x)=x3-x5   We have to find p(-2) And p(3)