P = f(t) = et 0

Q: Find the derivative a. f(x)= 6/(3x2-pi)4 b. f(x)=((3x2-pi x)4

A: (a) given,

Q: If a ball is thrown in the air with a velocity 48 ft/s, its height in feet t seconds later is given…

A:

Q: (x >0) 1+x/x

A: We can use the quotiatant rule of derivative.

Q: f(x) = Initial Value Type of Change Rate of Change

A:

Q: An unknown function's derivative is h'(x) = 3x-2 - 6. Using your understanding of the derivative…

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Q: How to use a graph of a derivative to determine the parent function.

A:

Q: The time it takes an average athlete to swim 100 meters freestyle at age x years can be modeled as…

A: please see the attachment

Q: If the sign of the first derivative function is positive, the main function f(x) is decreasing.

A: We have to tell If the sign of the first derivative function is positive , the main function f(x) is…

Q: h(x)=25x .52x-1 find the first derivative of the function h

A: The function is given as hx=25x·52x-1 Consider the function y=25x·52x-1 We can write the above…

Q: A - 4 4x+A Q2 (a) Given the function, f(x) = 6* (i) Calculate the first derivative of the function…

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Q: Example 4:- By using the four steps rule, find the derivative of the function f(x) = Vx + 2

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Q: When dealing with graphs of a function, how would you find the original function graph when given a…

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Q: Find the derivative of g(x) = 4x 1+4* •

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Q: During a pandemic, the number of people who have been infected with a certain virus is measured and…

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: