Use differentials to approximate the change in profit corresponding to an increase in sales (or production) of one unit. Then compare this with the actual change in profit. Function x-Value P = -0.1x3 + 300x - 30 x = 60 dP = -798.1 x dollars AP = 18.1 x dollars

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Q: Find the derivative of the function. x² + 2 y = 2 – , - 2 -&x(x² + 2, y' = (2² – 2)4

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Q: Find the derivative of the function. x2 + 3 y = x² – 3

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Q: Find the derivative of the function.

A: ddx3x2+4x-8x32Apply the Quotient Rule:  fg'=f '·g-g'·fg2=ddx3x2+4x-8x32-ddxx323x2+4x-8x322Solving,…

Q: Solve for the 2"nd derivative of the function f (x) = 3x5 – 4x3 + 7x² – 10. a. 15x* – 12x2 + 14x b.…

A: Given: fx=3x5-4x3+7x2-10 To Find: 2nd derivative of the given function

Q: Use differentials to approximate the change in R revenue= 50x-1.5x2 as sales increase from 13 to 15…

A: Consider the given function: R=50x-1.5x2 Now differentiate the given function: dRdx=50-3xdR=50-3xdx

Q: Use differentials to estimate the value of V1.3. Compare the answer to the exact value of V1.3.

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Q: Find the derivative of the function. 9x + 8x2 t(x) t'(x) =

A: We have to find derivative

Q: Find the derivative of the function

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Q: Find the derivative of the function.

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A: Given function: y=29-x24

Q: Find the derivative of the function. f(t) = 7t2/3 − 4t1/3 + 3

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Q: Find the derivative of the function. h(t) = (t3/t6+3)2

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Q: A. Get the derivative of the given function. 1. y = (5x³ + 4)² 2. y %3D

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Use differentials to approximate the change in profit corresponding to an increase in sales (or…

A: Use the formulas below to evaluate dP and ∆P . dP=P'(x)dx∆P=P(x2)-P(x1) Here, dP is the approximate…

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A: Given: f(x)=x2+3xx-4 To find f''

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Q: Find the derivative of the function. x2 - 2x3 t(x) t'(x) =

A: In the question it is asked to calculate derivative of following function.

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Q: 50 Find the derivative of ƒ (t) = (3t³ – 6t2 + 11 )".

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Q: What is the derivative of y = √/x? 1x² X 2 2 1 X X 2 23

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Q: Find the derivative of the function. h(t) = - (²²) ² h'(t) =

A: We have to find derivative

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A: Solution:- The given function is  y=1(x2+5)3

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A: Let us take

Q: x = -t4 – 5t – 3 2.

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Q: Find the derivative of the function y = 3e^(13t-15)

A: Calculation:

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Q: b) Find and simplify the derivative of the function below: y = x°(3x² + 1)*

A: Use the chain rule and power rule of derivative and simplify the result.

Q: Find the derivative of the function. h(s) = −2√(5s2 + 3)

A: the given function is: hs=-25s2+3 we have to find the derivative of the given function.

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Q: Use differentials to approximate the change in profit corresponding to an increase in sales (or…

A: Please see the explanation below

Q: Find the derivative of y = x2 (x³ + 1)4. 3

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Q: Use differentials to approximate the change in f(x)=x3+x2-2x+1 when x=2 and dx=0.05 a. 0.1 b. 7…

A: Use differentials to approximate the change in f(x)=x3+x2-2x+1 when x=2 and dx=0.05 a. 0.1 b. 7 c.…

Q: An oil tanker is leaking oil at a rate of L ′ ( x ) = x e ^(− x/2) barrels per hour, where x is the…

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Q: Use differentials to approximate the change in revenue (in dollars) corresponding to an increase in…

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Q: he differential to approximate the change in average cost per racket if production is (A) increased…

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