Suppose f : R → R is a C1 function such that f(-5) = 5 and f'(-5) Theorem states that x is a function of y near y = 5. = 10. Denote y = f(x). Since f'(-5) # 0, the Inverse Function 1. What is the value of at y = 5? 2. What is the approximate value, as approximated by the derivative, of the (unique) x such that f(x) = 4.9?.

Q: For the function f(x) = 4x- 3x +2x +6x +2, find f"(x), the third derivative of f, and f''"(x) = %3D

A:

Q: 3. Find the first and second derivatives of the function f (x) = e¬²

A:

Q: h' (2) = 4, then f'(2) = ? We know the following 5. Suppose that f(h) and h(r) are functions such…

A: Using the given value we find the composition function value and value of f’(2)

Q: Find the x-coordinates of all of the points on the graph of f (x) where the derivative equals 0.…

A:

Q: Use the definition of a derivative to find f'(x) and f"(x). f(x) = 3x2 + 2x + 2 f'(x) = f"(x) =…

A:

Q: 4 -4 -3 2 4 -2

A: See from the given graph of the function fx, the graph becomes parallel to x axis at the points x=-2…

Q: Let be a function whose derivative graph is shown below. Use the graph to answer the following…

A:

Q: Find the inverse function of f(z) = 4 + V7. f"(z) =

A:

Q: Suppose that  f is a twice differentiable function (the function has a second derivative…

A:

Q: The figure below shows the graph of f', the derivative of f, on the interval [-5, 4]. The function f…

A: The figure given shiws the graph of , the derivative of  on the interval .The function  is…

Q: Find f' in terms of g' if (i) f(x) = g(x + g(a)). %3D

A: We will use the formula f(g(x))' = f'(g(x))g'(x)

Q: 4. f(x) = 5. 6. (X M 2x + 1)³ (x²-2) 10 100 ln(x+3), f(x) = (x) = { 4x² - 1, sin(xy) = x² + y³ if x…

A:

Q: The curve y = ax + bx + c passes through the point (1,8) and is tangent to the line y = 5x at the…

A: Given that: y=ax2+bx+c passes through (1, 8) and tangent to line y=5x at origin.

Q: f'(x) represents the slope of the secant line at any point on the graph of the function.

A: