The graphs of four derivatives are given below. Match the graph of each function in (a)-(d) with the graph of its derivative in I-IV.

Q: 0.0 2 -0.5 -2 -1.0 2 I II III 2. 2.

A: In I: the function is less than 0 for some and later greater than 0. The function is increasing…

Q: 13. y = sin x+cos² x 14. y = tan r+sec? x

A: Given: 13.y= sin2x+cos2x 14.y=tan2x+sec2x

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

A:

Q: Find the derivative of function.

A: We have given y=-2ln x3x-1. Differentiate both sides with respect to x. Use constant multiple rule…

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: 2. Which of the following represents the derivative of the function: (1 Point) 2ty %3D

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: y = x² - ²₁ (-2,5)

A: Derivative by defination rules

Q: Find the derivative using the methods of Example 6 in the text. y = x8x y =

A: Consider the equation y=x8x We have to find the derivative of y=x8x Taking logarithmic both the…

Q: Find the derivative for each function. ㄷ 7. y=x² +2 9. y=2x²-x+3 A. 6. y=3x²-6 8. y=x²-3x+2 10.…

A:

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: