Find the area between the curve and the x-axis for the function f(x)=³- on [0, 3] 2 O 0.25 O 16 O 15.75 O 16.25 Fini

Q: Explain the relationship between a function and the derivative by providing an example.

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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…

Q: 6x3y2-2y3=8,624   (3,-7)  Evaluate the derivative of the following function at the given point.

A: From the given problem:   6x3y2-2y3=8624   Now differentiating the function with respect to x.…

Q: in in words how is derivative lated2

A: We have to explain in the words how derivative is calculated.

Q: Find the derivative of y = ÷+; x2

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Q: How do you take the derivative of an equation?

A: In order to calculate the derivative, let us suppose a function as,

Q: x5/2+4 x3 y = 3

A: We have to find the derivative of the given expression: y=x52+4x3x3 Simplifying the given…

Q: How do you find the derivative of a constant multiplied by afunction?

A: If f(x) is any function and let y=cf(x)            function f(x) multiplyed with a constant, c is…

Q: What exactly is a derivative?

A: Derivative actually measures the steepness of the graph of a function at a particular point.Thus…

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

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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: State the first-derivative rule. The second-derivative rule.

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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

A: we have to find derivative of f(x) where f(x) is given by

Q: Give the derivative of y" 7/17

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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: The derivative of the function is equal to

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Q: What is a derivative?

A: The derivative of a function can be defined in two ways, one approach is graphical and other…

Q: +7V + - 5x + 6. Find the derivative of y = 9 - 5х + 6.

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Q: How do you find the derivative of the quotient of two functionsthat are differentiable at a point?

A: Given: Let f and g be two differentiable function at point x.

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

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