Plot five points on the graph of the function f(x)=(1/2)^x

Q: Give 1 problem for differentiation rule of exponential

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Q: Example: Sketch pictures of some functions that would not have a derivative at x = 2.

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Q: please take the first and second derivative of this function:    cube root of x^2 - (1/cube root of…

A: First express the expression with exponents of x.

Q: Graph f(x) = x +2x -5 and the tangent line to the graph at the point whose x-coordinate is -2.

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Q: Explain in words how to evaluate the derivative of function?

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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: Find the derivative of function. y = log2(2x2 - x)5/2

A: Given, y = log2(2x2 - x)5/2 To Find the derivative of function.

Q: 43. Find the function whose tangent line has slope (x + 1)e¯* for each value of x and whose graph X-…

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Q: Solve for the second derivative of f(x)=2x-2/x+5

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Q: Find the derivative of f( x ) = log3(x + 6.5). f'(x) =

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Q: Graph the derivative of the function graphed on the right.

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Q: Find all functions ƒ whose derivative is ƒ'(x) = x + 1.

A: Given that f'(x)=x+1

Q: Explain how to graph the derivative of a function given the graph of the function.

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: What information about a graph can be found from the second derivative?

A: What information about a graph can be found from the second derivative?

Q: LY 5- -4 2- -5 -4 -3 -2 -14 -2+ -3

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Q: sketch the graphof the function and state its domain. f (x) = 4 ln(x − 2) + 1

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: Explain in 200 words the relationship between the secant line, slope of the tangent line, derivative…

A: Given: secant line, slope of the tangent line, derivative of a function using the limit process,…

Q: 6 Find the derivative of: 9/x

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Q: find the derivative of the function F(x)=4(x^3-x)^4

A: According to the given information, it is required to find the derivative of the given function.

Q: how do limits relate to derivatives and integrals? also give examples of when they are used to…

A: Limit of a function is defined as , Let I be an open interval containing x0∈ℝ. Let f : I→ℝ . Then…

Q: What is the inflection point of the function f(x) = x5 ln(x)?

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

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Q: find the derivative of the function f(x) = 7(x^3-x)^4

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Q: Find the derivative f(x)= Inlex+9)

A: To find: the derivative of f(x)

Q: Discuss the solution on how to get the derivative of the function

A: This question is related to differentiation, We will solve it using given information.

Q: calculate the 21st derivative of function f(x) = 20-x

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Q: Compute the derivative f(x)= cubed root of x + 3/x5

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Q: Sketch a graph of a function whose derivative is zero at exactly two points. Explain how you found…

A: Sketch the graph of a function whose derivative is zero at exactly two points which means we can…

Q: f(x) = ln (1/x^6)

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Q: If we have to integrate a function, what is the first thing come into our mind?

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Q: give a problem and solution for differentiation rule of exponential and logarithmic functions in…

A: See the details solution in below

Q: Find an equation of the tangent line to the graph of the logarithmic function at the point (1, 0). y…

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Q: 1. Sketch a function that has a horizontal tangent line for all values of x. Explain how you arrived…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the value of the derivative of the function at the given point. f(x) = 2x2 - 3x; (- 1,5)…

A: The function is given by fx = 2x2-3x To evaluate : The value of the derivative of the function at…

Q: equation of the function f whose graph passes thro f'(x) = x/25 - x²

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Q: Solve for the second derivative of the function below 3. у%3 (х— 5)*

A: Given: y = x-54 To find: Second derivative of the given function.

Q: When looking at the graph of an original function, how do you know when the derivative of the…

A: To find the derivative, for your visualization, just draw the graph and the graph of its derivative.…

Q: 4. f(x)=

A: The given function is: fx=5x2x+3   As we know that; The Power Law: ddxxn=nxn-1 The Quotient rule:…

Q: Suppose an initial population of 33 million people increases at a continuous percent rate of 1.6%…

A: Given  Initial population = 33 million  rate =1.6% Increases continuously

Q: Sketch a graph of a function whose derivative is always negative. Explain how you found the answer.

A: Sketch a graph of a function whose derivative is always negative. Explain how you found the answer.

Q: Find the function with the given derivative whose graph passes through point P. F'(x)=2x-3, P(5,5)

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Q: Find the derivative of f(x) Give answer in exponential notation with positive exponents

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Q: The L'Hopital rule and The derivative of the exponential function. lim (ex + x³)*:

A: Use l hospital rule

Q: find the equation of the tangent line to the graph of the logarithmic function at the point (1,0)…

A: Given problem:- find the equation of the tangent line to the graph of the logarithmic function at…

Q: Find the indicated derivative. f'(-5) = If f(x) = x², find f'(-5). X

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Q: Give 5 examples of derivative of exponential function with solution

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Q: If we have a formula giving the cholesterol level of a patient as a functionof time, how can we find…

A: Integration gives the function whose derivative is given. Integration means adding all slices to…

Q: find derivative  f(x)= x3/square root of 1+x2

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