Activity Solve the following problems: Question 1. A car speeds past a speed trap. By the time the traffic officer gets a reading on the car's speed (time t 0 seconds), it has already traveled 0.04 miles past the speed trap. Furthermore, it is accelerating in such a manner that t seconds after this instant, it has a speed of s 852 miles per hour. How far away is the car by the time the traffic officer realizes what has happened, if realizing what happened takes 3 seconds? You may use a calculator for the numeric calculations in this exercise. To convert miles per hour into miles per second, divide miles per hour by 3600.

Q: How to get the derivative of the 7th root of (5+2logz)9?

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Q: 1. Find the derivative. (a) f(x) = (6x² – 8x + 4)4 2х -5 (b). у %3D 2x2 - 10

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Q: How to find derivative of polynomial?

A: To find the derivative of any polynomial function use this formula:       the derivative of…

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A: To find the derivative of given equation.

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A: We havey= (2x-x3)(x2 + e-x)

Q: Find the fifth derivative of (2x+3)5

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Q: Find the derivative of f(x)=2 by using the definition of the derivative. %3D

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Q: What is the derivative of the exponential function ex? How does the domain of the derivative compare…

A: To determine the derivative of the function ex and domain of the derivative.

Q: How do you find the derivative of this? Do not simplify the answer.

A: Let's first reduce our functiony=x3x3​+x​​=>y=xx+x​​=>y=xx​+xx​​=>y=1+x​1​=>y=1+x−21​Now…

Q: Derive the formula for the derivative of the inverse cotangent function. Please show all step

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Q: The critical points of the function f(x) 36z2 - 2x occur at 2- 0, r +4.00 0, z +2.40 %3D I0, z -…

A: We have to find the critical points of the function f(x)=36x2-2x4.

Q: 23. Using first principles, determine the derivative of f(x) = 1 4x+7

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Q: How do you find the derivative

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Q: 5x + 8 f(æ) : 9x2 + 4

A: Topic- differentiation

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Q: If 2x² + y² = 19 then evaluate when z = when = 3 and y = 1. (Answer accurate to two decimal places.)

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Q: Write an equation (second degree) satisfied by two functions f and g having the same derivative.…

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Q: 1 EX-1- Find the derivative of the function : f(x)= /2x+3

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Q: Using the chain rule, derive the formula for the derivative of the inverse sine function.

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