Find f '(x). 4x- 1 f(x) =- 9x +5 f '(x) = Find f '(x). 40 f(x) = f '(x) = Find f '(x). 4. 20x f(x) = 9x + 14 f (x) = Find f '(x). f)=(4x-9)" (4 - x20)* f '(x) =

Q: Find the derivative of the following functions using the long method.(general process) Y=3+4x-x^2

A: This question is related to derivative. We will solve this problem by using basic defination of…

Q: y = 4x° + 4x at (1, 2)

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Q: Find second derivative of f(x) =6x^2+7x+1

A: We have to find second derivative of  f(x) = 6x2+7x+1 Then , f'(x) = 12x + 7

Q: Shows the derivative function of: 2x² + ln x²(2x² + 5x − 1)

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Q: how do you solve for the critical points of the first derivative of this function? x/4+x^2

A: Differentiating with respect to x, we get

Q: Find the derivative of x/ex^2.

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Q: 1. у %3D х+/x

A: Topic = Derivative As per guidelines , At  a time only one question can be answered out of different…

Q: what would be the output if the 2nd derivative is negative

A: We know that for a function y = f(x), the points of extremum are obtained if the first derivative of…

Q: The decay of radioactive elements can sometimes be used to date events from Earth’s past. In a…

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Q: 2. Show a graphical method of approximating the instantaneous rate of change at x = 3 for the…

A: You must have idea about what is the basic difference between instantaneous and average rate of…

Q: Use central difference method to estimate the 1st derivative of the following function at x = 2 and…

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Q: Find the first derivative (x^5+6x^3+10x)/√x

A: To find: The first derivative of . Formula used: Quotient rule of derivative: Power rule of…

Q: how derivatives of : a. y = ex^3+5x3 b. y = ln(2x4+2)3

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Q: x³tanh² (x*) sech²(x*) dx

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Q: 2.) Find 1st derivative of y = e-'In (x-1)

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Q: If the sign of the first derivative function is positive, the main function f(x) is decreasing.

A: We have to tell If the sign of the first derivative function is positive , the main function f(x) is…

Q: 2. Suppose that the marginal revenue for a company manufacturing coffee machines is given by…

A: Given expression for marginal revenue of the company is: Q=100-0.5x where, Q is the marginal revenue…

Q: Suppose that the revenue (in dollars) from the sale of a product is given by R = 60x + 0.8x2 -…

A: The revenue (in dollars) from the sale of a product is given by, R=60x+0.8x2-0.003x3, where x is the…

Q: derivative of y = arctan(x2+ 3)

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Q: Evaluate the 3rd derivative of y= x5Tan(x4) if x=4

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Q: find derivative y=square root of (1+ x times e^-2x)

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Q: How to find the critical points of this derivative

A: We have to find critical point of f(x),where f'(x) is given by:

Q: compute the derivative. f (x) = ln(ex − 4x)

A: We can use chain rule ( Nested function form ) of differentiation to find the derivative. According…

Q: If the instantaneous rate of change of ƒ1x2 with respect to x ispositive when x = 1, is ƒ increasing…

A: As instantaneous rate of change  of f(x) that is f'(x) is positive means the function f(x) is…

Q: s projected that x years from now the population of a certain city will be changing at the rate of…

A:

Q: Suppose, the scientists working in the north pole want to grow vegetables to meet their own demand.…

A: MatLab Code: %Open-Loop systems = tf('s');Gs = 0.39s+1.5; %Open-Loop system responsedisp('Open-loop…

Q: What is the first derivative of f(x) = ]n( 3x´+7x 5x

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Q: Find the derivative: y = ln(24) 2x-4 O 4x-x² 2x-4 x²-4x 4 4x-x² 4 x²-4x O о O 8

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Q: State the derivative rule for the exponential function ƒ(x) = bx.How does it differ from the…

A: Derivative rule for bx. The derivative of fx=bx is given by f'x=bx lnb.

Q: when you have f(x) = x^2 + 7x +10 / x^2 - 7x +6 what is the average rate of change of the function…

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Q: Suppose the amount of oil pumped from one of canyon near the beach of island decreases at the…

A: Given query is to find the time when output will become one fifth of initial value.

Q: Find the first derivative of f (x) = 2* 2*

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Q: 6. 3. Find the derivative of: -2Vx++ 5x – 8

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Q: second

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Q: A colony of bacteria with originally 100 cells has now grown to 900 in 2 hours. Assuming the rate of…

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Q: Suppose that the revenue (in dollars) from the sale of a product is given by R = 30x + 0.8x2 −…

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Q: Find the second derivative of y=4^x+x^2sinx

A: we have to find the  second derivative of y=4^x+x^2sinx

Q: water leaking onto a floor creates a circular pool with an area that increases at the rate of 3…

A: Let  A=π r2 differentiating A with respect to time tdAdt=2πr…

Q: A company has identified that the revenue R for a particular product is given by the equation R(x)…

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Q: f (x) %3D х3 -Зх2- 2 3x2

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Q: proportional

A: We will solve the problem.

Q: 2. Find the derivative In (x+) y3=

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Q: Find the first derivative of y=arctan⁴(3x⁵)

A: Find the first derivative of y=arctan⁴(3x⁵)

Q: - Find the derivative of the function : ƒ(x)= V2x + 3

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Q: It is projected that x years from now the population of a certain city will be changing at the rate…

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Q: Find the second derivative of y=x-1 at x=2

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Q: 3) Determine the second derivative of y = 5x* + 4x -+÷-3 2x2

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