FIND A APPLICATION OF DIFFERENTIATION THAT CAN APPLY IN DAILY LIFE AND CALCULATE IN DETAILS Cooling off a body from 1000C to 800C takes 5  minutes.If the room temperature is  260C, how long will    it take to reach 300C?

Q: 7. уз y =/x³ – 1/1+ vx

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Q: If 4x2 + 2x + ry = 1 and y(1) = - 5, find y'(1) by implicit differentiation.

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Q: Find the equation of the tangent line to the graph of f(x) = 3x° + 4x² – x – 4 at x = – 1. y = help…

A: We first find f'(-1) to find the slope

Q: If f(x) = 2x3 − x, use the definition of the derivative to find f', f'' and f'''.

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Q: Find the third derivative if the function. 15. f(x)= 1/x

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Q: Find the derivative off(x)=−5x^8+8x^4 f'(x)=______

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Q: Calculate the derivative. f(x) = ex(x 2 + 1)(x + 4)

A: Here given function as fx=exx2+1x+4

Q: (V2-5x +8x*)': 3I2-5x 4. 8x 3)

A: Given function. fx=2-5x+8x33

Q: Use the rules of differentiation to find the derivative of the function. 2 h(x) 16 sec x h'(x) = %3D

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Q: One of the methods used to eliminate arbitrary constant is by direct differentiation and the other…

A: To fill the blank for the given statement.

Q: Find 49 by implicit differentiation if

A: differentiate both sides with respect to p and get the solution in 2nd step.

Q: Find all the values of x where the tangent line is horizontal. f(x) = 2x + 45x +324x +4

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Q: Find the derivative of ƒ (x) = /9 – 2æ. To enter va, type sqrt(a). f' (x) =

A: The chain rule says that when the terms inside a function being differentiated does not correspond…

Q: Use the DEFINITION OF A DERIVATIVE to find the derivative of the function. 5) f(x) = 2x2 at x 1 %3D

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Q: Use the definition of the derivative to solve.

A: Given,

Q: By direct differentiation, find f(x) where flz) = 3x-2

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

A: Find your answer below

Q: One boat is 20 nautical miles due North of point A traveling toward point A at a rate of 15 nautical…

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Q: Verify by differentiation that

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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: If the increase in the side of a square is 2%, find the change in the area of the square using…

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Q: The Differentiation to be made must be based on the following topics. - Product Rule Give 3 examples…

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Q: Find the second derivative by implicit differentiation of 8x² + 16y² = 144 at (1, 1) A. В. -3/4 c.…

A: Given query is to find second derivative of the expression.

Q: By using the definition of derivatives, find f'(2) for f(x) = Vr +7. You may not get any credit if…

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Q: h(x) = 4x/1-2x

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Q: Answer fast. Find the 5th derivative of 3x^5 - 3x^3 + (1 /x^2).

A: We differentiating with respect to x continuously 5 times to get the required 5th derivative.

Q: If 4-x2 + 3-x+x -y= 4 and y(4) =-18, find y' (4) by implicit differentiation.

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Q: Use the Quotient Rule to calculate the derivative. f(x) = ex / (x2 + 1)

A: Consider the given function as fx=exx2+1

Q: Find the indicated derivative of the following. 1. х? - 4y? %3D5 , у" 3 2. у +у -х* , у"

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Q: Which derivative is approximated by

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Q: If 3x² + 2x + xy 2 and y(2) -7, find y' (2) by implicit differentiation.

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Q: The Differentiation to be made must be based on the following topics. - Quotient Rule Give 3…

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Q: In your own words, state the guidelines for implicit differentiation.

A: We have to state the guidelines for implicit differentiation.

Q: 2dx 4х-3

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the derivative of g(x) = 6 + 8x4 at x = 1. ANSWER: g (1) = (Again, your final answer should be…

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Q: 6 (x+2)(x-5)(x²+7) V(x3-8)(x+3)(x+4) %3D

A: Using Logarithmic Differentiation.

Q: Evaluate the second derivative of the function below at (1, -2). y² = x³ = x + 1 -

A: To evaluate the second derivative of the function at the given point.

Q: derivative of f(x)=2x^15-3^x, f^15(

A: We will find the required.

Q: The Differentiation to be made must be based on the following topics. - Sum and difference rule of…

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Q: plot the curve where (y^2)-2 /(y+3) = x^3/x+4, including all interesting features. match slopes at…

A: Here, By differentiating with respect to x

Q: Answer fast. Find the 5th derivative of 3x^5 - Зx^3 + (1 /x^2).

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Q: A point P is moving along the curve whose equation is f(x) 6le 2x+3 . By using second derivative for…

A: The equation of the curve is as follows: fx=6e2x+3 The values for x and fx with step size of h=0.05.…

Q: Find the derivative of 4x2 +6y3 by filling the blanks.....

A: *to find:- derivative.

Q: Calculate up to 3rd derivative the equation f(x) = 5x²(x+ 47)

A: We have to find the 1st,2nd,and 3rd derivative of the given function.

Q: G (z) = /2 – 5x %3D

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Q: 4. r(x) = 3x) (1 - x)(-/-)

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Q: calculate the derivative indicated. 23. f′′′(−3), f(x)= 12 −x3

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