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A: We will find the derivative.
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A: Answer and explanation is given below...
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A: As per our guide lines we can answer only 1 question. Kindly post the other question seperately.…
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A: 1. By using u.v rule 2. By using chain rule
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Q: What is the 28th derivative of sinx? A -sinx B -cosx cosx D sinx E) none of the given choices
A: Explained below
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A: Given:
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A: Topic = Derivative
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A: Using the implicit differentiation,
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A: Given function as
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Q: Find the 31th derivative of the function f(x) = cos(x). The answer is function
A: f(x)=cos(x) f'(x)=-sin(x) f"(x)=-cos(x) f"'(x)=sin(x)
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Q: What is the 28th derivative of sinx? sinx B none of the given choices -cosx D -sinx A)
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Q: Find the derivative of the function. y = sin(tan 8x) %3D
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- How are the absolute maximum and minimum similar to and different from the local extrema?Find the critical point of the function f(x,y)=3e^x−2xe^y. c=Use the Second Derivative Test to determine whether it isA. test failsB. a local minimumC. a local maximumD. a saddle pointAn open–top box with a square base is to be constructed from two materials, one for the bottom and one for the sides. The volume of the box must be 18 cubic feet. The cost of the material for the bottom is 4 pesos per square foot, and the cost of the material for the sides is 3 pesos per square foot. Find the dimensions of the box such that the cost is at its minimum. Find the domain of the function, the critical points and include the second derivative test.
- 1. Define the first derivative test in your own words. 2. What are the conditions for a point to be considered a local maximum using the first derivative test? 3. What are the conditions for a point to be considered a local minimum using the first derivative test? 4. List the steps involved in conducting the first derivative test. 5. How can the first derivative test be applied in real-life situations?Find the critical point of the function f(x,y)=6x−2y^2−ln(|x+y|). c=Use the Second Derivative Test to determine whether it isA. a saddle pointB. a local maximumC. test failsD. a local minimumUse the level curves in the figure to predict the location of the critical points of f and whether f has a saddle point or a local maximum or minimum at each critical point . Explain your reasoning. Then use the Second Derivative Test to confirm your predictions . 3.f(x,y)=4+x3+y3-3xy
- 4) Use the level curves in the figure to predict the location of the critical points of f and whether f has a saddle point or a local maximum or minimum at each critical point. Explain your reasoning. Then use the Second Derivatives Test to confirm your predictions.Find all the critical points of the function ?(?) = ?^25 − ?^9. Use the First and/or Second Derivative Test to determine whether each critical point is a local maximum, a local minimum,or neither. You do not need to identify any global extremaFind all critical points of f(x, y) = sin(x) sin(y). Classify each one as a local maximum, local minimum, or saddle point. (To check your answer, have a look at a contour plot of this function.)
- Determine the critical point of the function and use the critical studied to classify it(s) as a maximum, minimum or saddle point. Z=x²-xy-y²-3x-yA piece of wire 150 cm long is cut into two parts. A square is made from the first piece, and a circle of radius r is made from the second piece. Find with the help of derivative what the length of each piece should be so that the sum of the areas of these two shapes is minimum. pls answer on paper thnx :)Find the absolute maximum of x40-x20 on the interval [0,1].Find also its absulute maximum value