2(b) Just the answer please. What is the instantaneous rate of change of the function defined by f(x) = x^4 , at point (-1,-2)?   I) 1 II) 16 III)-4 iv) 4

Q: How can you sometimes graph the derivative of a function when all you have is a table of the…

A: We can draw the graph of derivative of a function using the values given to us in table of of the…

Q: xy2+5x2-3y2+45=0  (1,5)   Evaluate the derivative at the given function point.

A: We have to find derivative

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: why setting the derivative of a function equal to zero allows us to find the maximum or minimum…

A:

Q: Find the slope of the line at the point x = 2 for the function f(x) = x ^ 2 * (3x - 2) 12 16 40…

A:

Q: f(x) f'(x) x100

A:

Q: Consider the function f(x)=5√x+9x^3+6x f′(x)=

A:

Q: Find the value of a and b in the function f(x)=ab^x, if f(-1)=15 and f(2)=5/9

A: Given function,                               f(x)=abx                               And  f(-1)=15…

Q: In Problems 9 and 10, find the indicated quantity for y = f(x) =5 – x² and interpret that quantity…

A: Consider the function  f(x)=5−x2

Q: How do I approach this function for the slope of the secant line at the given points?

A: Given: The function is

Q: How can you sometimes identify a function ƒ(x) by knowing ƒ'and knowing the value of ƒ at a point x…

A: To identify the function fx when f' and value of function fx at a point is known.

Q: Choose the point that corresponds to t=-1 when x=t^2-4 and y=t+1/t (-3, 0) (-3, -2) (3, 2) (-5,…

A: Given,x=t2-4andy=t+1tat t=-1x=-12-4x=1-4x=-3andy=-1+1-1y=-1-1y=-2

Q: Identify the equation that defines y as a function of x (a) x+(y-1)² = 3 (b) x2-y 3xy (c) 3x+5y = 1…

A: (a) x + (y-1)^2 =3       this equation gives two value x (b) x2 - y2=3xy    it also give two values…