| EJERCICIO 2: Obtenga la derivada de las siguientes funciones aplicando la fórmula correspondiente, luego evalúe en -1 f(x) = 2x² + x³ − x² + 4

Q: Determine the local optima of the following functions using both the First derivative test and…

A: First derivative test: let f be a continuous on [a,b] let c be a critical number for f in (a,b).…

Q: Find the derivative of the given function using the rules of differentiation

A:

Q: What is the derivative of p(aE - bE2)?

A:

Q: Find the derivatives of the functions in Exercise

A: Given: r=21θ+θ We know that ddxxn=nxn-1                                                        ..1

Q: Construct a first derivative sign chart for f. On which interval(s) is the function f increasing? On…

A:

Q: Derive the formula for the derivative of the inverse cotangent function. Please show all step

A:

Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. g(s) =…

A:

Q: The following function gives the average cost (in dollars) per advertisement when paying for X…

A: Multiple sub-parts question-"As per our guidelines we are suppose to answer only first 3…

Q: 4V (7x – 5)5

A:

Q: -1 8y ¹ ($) ₁ f(x, y) = tan¯ (Duf) p = ху + 5 sin¯¹ (XY), P = (64, 8), u = 7i+6j 1024

A: Given: f(x,y)= tan-1(8y/x)+ 5Sin-1(xy/1024) Point P(64,8) Vector u= 7i+6j

Q: Derive the three-point central formula that approximate the derivative of a function f(x) is a point…

A: From Taylors approximation we know that fx+h=fx+hf'x+h22f''x+h36f'''ξ…

Q: a. (x³ + 3x + 2)² + 1 b. (In(x²+4)- 1)³ C. (x + 1)4 d. 5 (*)³

A: