Derivative of f(x)=1+ 2x+3xy computed * O explicitly equal to 2+3x implicitly equal to 2+3x+3dy/dx O Non

Q: 3. Approximate the first order derivative of f(x)= x² + 2x at x = 3, using Forward, Backward and…

A: Formulas for differences are enclosed next page

Q: derivative of arctan(2/x^2)

A: we have to find the derivative of the function and we will find it by the chain rule of…

Q: [CLO-2] Find the derivative of 5 cosx f (x) = 4 sinx+3 O 21 – 6 cosx O ( 7 cosx+2)2 6 – 10 cosx (3…

A: Given:         fx=5cosx4sinx+3   Differentiating on both sides       f'x=ddx5cosx4sinx+3 Taking…

Q: Differential function of x2 + 2x + 3tanx

A: The given function is: x2+2x+3 tan x

Q: f(x+Ax)- f(x) Using the first principle of derivative f'(x) = %3D Ax Ax-0 Differentiate: y 4x - 6

A: Derivative of the function

Q: Discussing the concept of limits to slope to derivatives (delta method to simple differentiation) to…

A: We need to discuss the concept of limit in finding the slope, differentiation and integration (also…

Q: Find the derivative of the function by the limit process. Find an equation of the tangent line to…

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Q: Using the fact that Inſu(x)v(x)] = In u(x) + In v(x), use the chain rule and the formula for the…

A: Given: lnuxvx=ln ux+ln vx

Q: Implicit differentiation of x^2y^2=4

A: we have to find the implicit differentiation

Q: find all relative extrema of thefunction. Use the Second Derivative Test whereapplicable.f(x)=x…

A: Given function is: fx=xe-x Differentiating above with respect to x we get, f'x=ddxxe-x⇒f'x=e-x-xe-x…

Q: 1 Find the derivative of f(x) = - at x= 3 %3D (Type an integer or a simplified fractic 21 %3D

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Q: 3. Why first derivative is zero at local maximum and local minimum of function in an open interval?

A: Given, Why the first derivative is zero at the local maximum and a local minimum of function in an…

Q: valuate the second derivative of the function at the given point. Use a computer algebra system to…

A: The derivative of the square root function is calculated using the formula ddxxn=n·xn-1. The value…

Q: Find first and second derivative, critical points, concavity, x and y intercepts, vert and horz…

A: This question contains multiple sub-parts and you have not asked any specific sub-part. As per the…

Q: central-difference method to approximate the derivative of f(x) = ln x² with value Use of x at 1.8,…

A: As multiple questions are there and it is not mentioned that which question to be solved, I will…

Q: Find a function

A: This is very intresting question because there are so many function on an interval whose first…

Q: Find all relative extrema. Use the Second Derivative Test where applicable. (If an answer does not…

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Q: Differentiate Derivative of Derivative Differentiation Outer of Inner Function Function 1. y =…

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Q: tion of the tangent line to f(x) = 4 %3D

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Q: Find the approximate derivative for f(x) = cos x on the interval [-7, 1] using forward difference…

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Q: derivative of the firm's profit function is F'(x) = -0.03x2 + 3x - 100, where x > 0 is the output…

A: We will use the basic knowledge of functions and derivatives of functions to answer this question.…

Q: Find the derivative of the function by the limit process. f(x) = 6/x^2

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Q: of

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Q: sechx+cshx b) prove that e2x cshx-sechx

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Q: derivative of the firm's profit function is F'(x) = -0.03x2 + 3x - 100, where x 2 0 is the output…

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Q: 6. Using the limit defenition of the derivative, find the equation of the line tangent to the curve…

A: We have to find the slope of the tangent line at first.Then we find its equation.

Q: derivative of f(x)= arcsin(3x^2)arccsc(2x^3)

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Q: Calculate the derivative of f(x) = x^(1/ln(x)). What can be said about f(x) based on its derivative…

A: Consider the function,

Q: a) Using the method of first principle find the derivative of the function 1 f(x) = Show that sin* x…

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Q: f(x)=sinh(x)+2cosh(x)-sech(x) O f(x)=cosh(x)+2sinh(x)-sech(x)tanh(x) O…

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Q: True of False: Derivative of (arctan(e^(-x^2))) = [-2xe^(-x^2)] / [1 + e^(-2x^2)] Show your…

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Q: II. Derivatives of Transcendental Functions. 6. y = x²e 7. y = 52x+1 8. y = In|sinx| 9. y = xlnx – x…

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Q: derivative of 4sin^3(x^7)

A: We have to find the derivative of 4sin3(x7) Let's say y = 4sin3(x7) Let's say x7 = u Hence, y =…

Q: Using Chain Rule method Find the derivative of: 5 2. F= x³ + x² + x + 1 1. F(x) = ln Cos(x²)

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Q: derivative of f(x)=\sqrt(x)(1-x-x^(2))

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Implicit differentiation x^3+4x+y^2-3y+1=0

A: x3+4x+y2-3y+1=0

Q: Find relative extrema not using the first derivative test   s(x)=x^4-2x^2

A: We will use the second derivative test. But the route to second derivative passes through the first…

Q: he value x = ! is a critical number of the function f(x) = x ln(x), which has x) = 1+ ln(x). Use the…

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Q: 9 f:(-0,0) U (0, ∞) → (∞,0) U (0, ∞0). Where f(x) х Show that f(x) is continuous at x=3 with the…

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Q: Using chain rule, find the derivative of the hyperbolic functions: f(x) = tanh(4x) f (x) = In…

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Q: 7. Find all relative extrema. Use the Second Derivative Test to identify the local extrema. 2 f (x)…

A: Given:The given funtion is f(x)=3x+2xTo findWe have to find the relative extrema of the…

Q: irst and second derrivative of: 4In(Arctan x)=1-y

A: The derivative of a function f(x) is defined as limh→0f(x+h)-f(x)h. For some standard function the…

Q: Find the derivative of these functions with respect to x.   xsin-1(In(x))

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Q: 5. Calculate the derivative of x* sin (x) showing all your work. 6. Use the limit definition of the…

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Q: 3. f(x) = 6xi – 3x ; x € [- 2,1 first derivative critical numbers stationary points End Points…

A: Here, the given function is: f(x)=6x53-3x23; x∈-2,14

Q: Differentiate Derivative of Derivative Differentiation Outer of Inner Function Function 1. y =…

A: As you mentioned 2,3 and 4 solved

Q: 25. f(x) = x %3D tive of the function. If possible, identify the derivative function looking at the…

A: NOTE:- AS POSTED MULTIPLE INDEPENDENT QUESTIONS. WE ARE ANSWERING FIRST THREE QUESTIONS FOR YOU AS…

Q: Partial Differentiation a2z 1. If z = e* sin y + e³ cos x, verify a²z = 0 ду?

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Q: Given f(x)=x(x-1). a) Find first derivatives of function f(x) using product rule and chain rule.

A: Our objective is to find the derivative and critical points.