Use a computer algebra system to graph fand to find f' and f". Use graphs of these derivatives to find the following. (Enter your answers using interval notation. Round your answers to two decimal x2/3 f(x) = 6 + x + x4 Find the interval the function is increasing. (-x, – 1.07) U (0,1.02) Find the interval the function is decreasing. (-1.07,0) U (1.02,00) Find the local maximum value(s) of the function. (Enter your answers as a comma-separated list.) Find the inflection points of the function. (х, у) 3D (smaller x-value) (х, у) %3D (larger x-value) Find the interval the function is concave up. Find the interval the function is concave down.

Q: Given function: y = x* – 4x3 +2

A:

Q: Determine the function equation using cosine as your parent function.

A:

Q: Determine the derivative of the following function. Do not simplify.  y = (x - 2)3√2x-1 (sqaure…

A:

Q: Set Y1 = ex and use your calculator’s derivative command to specify Y2 as the derivative of Y1.…

A: Consider the function: y1=ex.   Calculate the derivative of the function y1=ex and let it be y2.…

Q: Draw a graph to match the description. Answers will vary. F(x) has a positive derivative over (-o,…

A: Given that:                    f(x) has a positive derivative over (-∞, 5) and (-5, 4) and a…

Q: Instructions: Determine the derivative of the ff. functions 1. y = 6x4 + 7x³ - 8x² + 9x - 10 2. y =…

A: According to guidelines we can solve only first 3 subpart. Please resubmit the others. Thank you.

Q: Find the derivative

A: Find the derivative of fx=3x2x2+2x-1.

Q: (b) Find the derivatives of the following functions: %3D

A:

Q: If the point in function f(x) has the coordinates (-2, 4), then what would be the coordinate for…

A:

Q: y = 9x — x3; (2, 10) -

A: We have to find the derivative of the function .Also we have to evaluate the derivative at the point…

Q: f(x)=x2+2x-1 g(x)= -500/x, x ≠0 k(x)= |x-2| For each function, do the following: Graph the…

A: a) fx=x2+2x+1 Now, f'x=2x+2 Graph is,

Q: Choose the correct equation(s) for the function shown in the graph. Select all that apply. y %24 1.…

A:

Q: Find the second and third derivative of the following 893 1. y 12x6x7 +17x5-6x4 +24x³ THE 2. y =…

A: Derivative of all functions continuously 3rd order And we get,

Q: Use differentiation to verify each equation. 4x7 d - 1x* - In 1x* + 122 1 + x*

A: We have to use differentiation to verify the equation: ddx1+x4-ln1+x4+122=4x71+x4 We will use…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: