How do you find the domain and range for f(x,y) = ln(x+y)?

Q: Consider the two functions fz) = 5x +5 and g(x) = 5x² - 5. a. Determine the instantaneous rate of…

A: rate of change means differentiate with respect to x so differentiate it f'(x) = 10x g'(x) = 10x   a…

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: Find the derivative of the function using implicit differentiation. 1.) x²+y²= 16

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the second derivative of the function. f(x) = x cos(x) f"(x) =

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Q: Find the indicated derivative. x2 Find f(3)(x) if f'(x) = x2 + 6 f(3)(x) =

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Q: Find the most general antiderivative of the function.(Check your answer by differentiation.)

A: To find the antiderivative we integrate the given function c=integration constant

Q: Derivative of h(x)= (x+5)^4(2x-1)^2

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

Q: Use the implicit differentiation  x2 − 3 ln y + y2  =  10

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Q: C.) approximate derivative; 5.) y = 2x 6.) y = x +34x + 4000

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

Q: Find f'(x). 1 f(x) You must use the "definition" of derivative. /x + 5

A: To determine the derivative of the function.

Q: If y = I, find f' (8) and f" (8).

A: This question is based on differentiation of function.

Q: second derivatives of f(x.y) = (x+y) e.

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Q: a.) A sphere shaped balloon is being inflated with a rate of 800 cm³ per minute. When the radius of…

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Q: first and second derivative of f(x)=x^2/(1+e^x)

A: To find first and second derivatives we will use product rule and quotient rule of derivatives. For…

Q: Find the derivative. f(x) = e* cosh(x) f'(x) = Need Help? Read It

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Q: Find the derivative of the function. y = x2x + 7     Thank you very much for your help.

A: Find the derivative of the function

Q: Vith its derivative. A. f(x) S'(x) D. B.

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use…

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Q: Find the most general antiderivative of the function.(Check your answer by differentiation.)

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Q: Calculate the derivative 4: Ix=-2' z = 8x2 + 1 (Use symbolic notation and fractions where needed.)…

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Q: using the definition of derivative to find f'(x) for the function:f(x)=4/x. How do I solve this?

A: Given problem is to find the derivative of f(x) = 4/x

Q: Differentiate the function. f(x) = 9x ln(6x) − 9x

A: Explanation and solutions is given below....

Q: Domain of function f(x) = ln is (0, 2) O True False

A: Since you are asking multiple questions. We are answering only the first question. We have to check…

Q: poin Find the derivative with respect to x of f(x) = V2x + 6. f' (x) =

A: Given f(x)=2x+65

Q: 1. y=ex-4) (exponent of (x-4) is 2) %3D

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Q: Find the average rate of change of f(x)=x2−x+2 on the interval [1,t].

A: To find the average rate of change of function

Q: Find the average rate of change of f(x) = 3x - 4 on the interval 1, t|. Your answer will be an…

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Q: 3) Find the second derivative of 2x f(x) = for x + 0 3x2+4x Show all steps. Simplify your answer as…

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Q: Find the derivative of f(x)=((e^x)+(x^2))(3sinx+4cosx

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Q: Derivative of y with respect to x

A: taking logrithum both sides and solve the question.

Q: Excrcise 10. Find the derivative d -7x * [" (t³ + 2) dt dx

A: Given,          ddxx∫57xt3+2dt

Q: Find the derivative of the function. f(x) = ex2 + 6 f '(x) =

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Q: 7 Find the derivative of f(x) 4/ + x4 Type your answer without fractional or negative exponents. Use…

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Q: Find the derivative of the function. f(x) = ex2 + 2

A: We use the chain rule for derivative

Q: most general anti derivative  f(x) = x^3.4 - 2.7/x

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Q: Differientiate the function y= (x²+6) Inlx'th)

A: Given that: y=(x2+6)ln(x2+6)

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: 9. Evaluate the derivative of the function y with respect to x. y = x**

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Q: 3. Use logarithmic differentiation to find the derivative of y = x". (Your answer should be…

A: To differentiate the below equation using logarithmic differentiation. y=xx2

Q: SIII 2 Consider the function f(z) z +1 derivative and indicate the domain w

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Q: differentiate y= (4x + 3)2 using the Chain Rule. a. What is the outer function? b. What is the…

A: Given, y=(4x+3)2 differentiate using the chain rule.     Find:  a. What is the outer function? b.…

Q: Find the most general antiderivative of the function.(Check your answer by differentiation.)

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Q: Find the most general antiderivative of the function.(Check your answer by differentiation.)

A: Then

Q: Derivative of: xn+1/ n+1 + C

A: Given, xn+1n+1+C. It is differentiated as follows: ddxxn+1n+1+C Take n, C as constant. Apply the sum…

Q: 5. Find the second derivative of f(x) = arctan(2x"). (You do not need to simplify your answer.)

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Q: uppose x and y are variables (y is a function of x) that satisfy the equation *-y'=12, What is…

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Q: Derivative of g(x)=[(ex+1)/(x+1)]2

A: Given g(x)=ex+1x+12                 =e2(x+1)x+12 We find the derivative by the following method…

Q: Appy the second derivative test to find the absolute maximum value on (0, 0) for f(x) = 15-4x

A: Given function is, f(x)=15-4x-250x2

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.