The following figure shows the graph of f and a line tangent to the graph of f at x = 6 . Find f(6) and ƒ'(6). YA 9 8 7- 16 6 5 4 3 2 در 0 y =f(x) 1 2 3 4 5 6 7 8 9 X

Q: y = 3x?+1 ; (0,1)

A:

Q: Use the graphs (see attached) of f and g to find (g - f)(-2).

A: To find (g - f)(-2).  (g - f)(x) = g(x) - f(x) value of both functions at x = - 2    g(-2) = 2 f(-2)…

Q: Determine the point(s) on the following function where the tangent line is…

A: f(x)=−x3+3x2In order to get the slope of the curve or that of a tangent to the curve at any point…

Q: #2.) Calculate the slope of the tangent to the given function at the given point or value of x b.)…

A: 2.b) gx=x+2, P-1,1d) fx=5x-2, P4,52 Note:     multiple questions are given, we are answer only one…

Q: Consider the function f(x) with the following graph: 2 Compute f'(-1). 3. 2.

A:

Q: The graph of  f pases through the point (1,-8) and the slope of its tangent line at  (x, f(x)) is…

A: It is given that graph of f passes through 1 , -8 and slope of the tangent at x, fx = 2x+1i.e    f'x…

Q: What is the slope of the secant line that passes through the points(a, f(a)) and (b, f(b)) on the…

A: Given: The secant line passes through the points a,fa  and  b,fb. Concept used: The slope of a line…

Q: 6x Find 4 for the curve given by x²y+xy%=

A: We have to find dydx for the given curve x2y+xy2=6x.

Q: For a function g, we are given that g(-6) = -8 and g'(-6) = 3. What's the equation of the tangent…

A: For a function , we are given that  and .To find the equation of the tangent line to the graph of…

Q: (6) Let a be a positive real number. Consider the curve defined by r? + y² – ry = a². Find all…

A: Given curve is x2+y2−xy=a2. Differentiate x2+y2−xy=a2 with respect to x, we get…

Q: The equation of the tangent line for the function f(r) = -6 - 6T at z = 6 is

A:

Q: 4. Which graphs of ƒ may have a point of inflection? State the coordinates of each point a) ƒ''(-4)…

A: For a function f, if its second derivative f″(x) exists at x0 and x0 is an inflection point for f,…

Q: Plot the graphs of f(x) = x(x - 3) (x + 3) and g(x) = cos 2 x together on the same set of axes and…

A: In the question it is asked to draw diagram for f(x)=x(x-3)(x+3). Also it is asked to draw…

Q: The graph of f(x) = − x² − 4x - - tangent to f(x) at x = −3. Provide your answer below: -10 -5 10 -5…

A:

Q: Considering the following graph of the given function f. y The xy-coordinate plane is given. The…

A:

Q: Use the graph of f and g. Let p(x) = f(x)g(x) and q(x) = f(x)/g(x). Find p'(8)= and q'(5)=

A:

Q: 9.) What is the smallest slope of the function y=x²-3x² + 5x-1 on ?

A:

Q: Find the function ƒ with the following properties. ƒ'(x) = 3x2 - 1; ƒ(0) = 10

A: Given, f'x=3x2-1f0=10

Q: Use the sign pattern for the derivative dƒ/ dx = 6(x - 1)(x - 2)^2(x - 3)^3(x - 4)^4 to identify the…

A:

Q: 3. The function whose graph has a slant (oblique) asymptote is: x4-8x+9 c) y = x4+5 a) y = 6x² x3+5x…

A: