v(z) = f(f(x)). Find .' (1) (2) =.' (3) 4:0 -1/2 DNE -1/2 The graph of g(z) is blue

Q: g(x) = 1.1x + ex   , (0,1) Find an equation of the tangent line to the graph of the function at the…

A: Equation of tangent line when the slope and points are known: where x1 ,y1 represents the given…

Q: dy dx (b) y = (x³ - 2x + 8) (x² + 4) 1. Use the Differentiation Rules to find (a) y = 6x³ + 3x√x -…

A: Since you have posted a multiple question according to guildlines I will solve first(Q1)   question…

Q: Find the formula for a parabola with its vertex at (9,4) and with a second derivative of -3. f(x)=

A: let's equation of parabola is given by y=ax2+bx+c                                              ..1…

Q: The graphs of the function F (left, in blue) and G (right, in red) are below. F(x) Let P(x) =…

A:

Q: Use the graph of f and g. Let p(x) = f(x)g(x) and g(x) 2 (a) Find p'(4). p'(4) = = (b) Find q'(1).…

A:

Q: (a) Graph the function y = x³ (x-2).

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: a.) A sphere shaped balloon is being inflated with a rate of 800 cm³ per minute. When the radius of…

A:

Q: Find f'(x), f''(x), and f (x) for the following function. f(x) = 9x° + 5x2 + 8x %3D

A: differentiate wrt to x

Q: 15) Match the graph with the correction function. (a) (x) = 4' - 5 (b) S(x) = 4' + 5 (c) (1) = 4-X +…

A: (a).    The given function is: f(x)=4x-5

Q: The graph of y = f(x) is given below. Th 0 2 Which statement is true? O f'(5) < f'(-2) < f'(1) O…

A:

Q: 2. (a) Sketch the graph of y = f'(x) given the graph of y = f(x). (b) Specify the domain and range…

A: Graph

Q: HW/ Graph (1) y= 1 x>1

A:

Q: What is the domian of f'(x)?

A:

Q: Find the indicated quantities for f(x) = 2x. (A) The slope of the secant line through the points…

A:

Q: (a) The curve y = 1/(1 + x²) is called a witch of Maria Agnesi. Find an equation of the tangent line…

A:

Q: Find f(x) dx for each graph of y = f(x). (b) у (a) y 1

A: Integral of the function between the limits represent the area under the function. Since both, the…

Q: 2) Find the point(s) at which the graph of f (x) = has a horizontal tangent. x2+1 %3D

A:

Q: df-1| For the function y = f(x) = x + 3x + 1, > 1.5, find dy (f-)'(3) = %3D

A:

Q: Let f (x) = (x³ –- 2x + 2)° Lans(1) = (x' – 2x + 2)' ma g(x) = 5" (x) and 8 (x) = f¯l (x). What is…

A: The slope of the curve g(x) at a point will be the derivative of the function, g'(x) at that point.

Q: Anna is to create a garden plot to grow lettuce (area A) for her turtles, as well as flowers (area…

A: When the given curve y = 9 - x2 intersects the x-axis, we have                y = 9 - x2 = 0…

Q: Match the function with its graph. (a) f(x) = x (c) f(x) = Vĩ (b) f(x) = x' (d) f(x) = |x| I II III…

A: Functions and graphs

Q: Given that f(x) = 4x+9 and g(x)=x°, find (fo g)(-5). (fo gX-5)-

A: