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: What rules do you know for calculating derivatives? Give some examples.

A: Given:What rules do you know for calculating derivatives? Give some examples.

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 do you find the fifth derivative of a function?

A: To find the derivative we differentiate the function once.  To find the second derivative we…

Q: xy2+5x2-3y2+45=0  (1,5)   Evaluate the derivative at the given function point.

A: We have to find derivative

Q: Find the derivative of

A: Given function is: y=x-1x2-2xx4⇒y=xx-1x-2x4⇒y=x2-3x+2x3 We have to find the derivative of y with…

Q: y=x2ln(x+5)   find the derivative

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Q: Find the derivative y = (2x – a) (x² + e-")

A: We havey= (2x-x3)(x2 + e-x)

Q: 4. y=ysin 2xcos 5x + 3

A: Find your answer below

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: 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

A:

Q: What is the derivative of f(x)= -3

A: Given f(x) = - 3

Q: Define the left and right derivative. You may use a textbook definition but also explain it…

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Q: explain why derivatives are useful and what they can be used for. You should touch upon at least 3…

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

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Q: 5 2x + 4

A: Given that a function f(x)= 5/(2x5 + 4). We find first , second,and third derivative of this…

Q: Help to find the derivative of f(x)=1/3x.

A: The given function is fx=13x

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.)

A:

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

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Q: 4. f(x)=

A: The given function is: fx=5x2x+3   As we know that; The Power Law: ddxxn=nxn-1 The Quotient rule:…

Q: Find the derivative of y= 3 3xL 15x-2

A: Given: y=3x5x−23

Q: Vx+1(2-x)5 8) y = (x+3)7 Find the derivative

A: We have to solve

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

A: Consider the two functions f(x) and g(x). f(x)·g(x)'=f'(x)g(x)+g'(x)f(x). Here f(x)·g(x)' represents…

Q: The derivative of the function ein(10) is equal to

A: