2. Use the second derivative to determine the intervals where f(x) = -2x³ + 4x2-150x is concave up and concave down. Then find the coordinates of any inflection points. %3D Concave up: Concave down:, Inflection points:

Q: Upoint Find the derivative with respect to x of 8. f(x) = ( (2x³ + 4)° + 6 ((2x³ + 4)* + 6)° + + 7.…

A:

Q: Use the first and second derivatives of (x)= x - 3x + 1 to determine the intervals on which f is…

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Q: Use the first derivative test to find the location of all local extrema for .3 f(x) = +4x*+7х— 5 3

A: For extreme values we find critical points by putting f'(x)=0

Q: Q8.) By using the definition of the derivative, find the equation of the tangent line to the graph…

A:

Q: If f (x) = 12 + 2x² – x*, use the second derivative test to find the local extrema of f.

A: Just use second derivative test and answer will follow.

Q: Use the definition of the derivative to find f' (x) for f (x) = v2x + 1.

A: The derivative of f(x)=2x+1 is to be found using the definition of derivative. The derivative of…

Q: Find the slope of the tangent line to the graph of f(x) = x³ + x at x = 3 using the limits…

A: Given- fx=x3+x To find- The slope of the tangent line to the above function at x = 3 using the…

Q: Use the limit definition of the derivative to find f'(x) for f(x) = x2 +5 x + 3.

A: the solution is given below

Q: Use the limit definition of the derivative to find the derivative of the function 3x – 7 f(x) = %3D…

A: The function f(x)=3x-75x2+1. We have to find the derivative of the given function using the limit…

Q: Suppose the second derivative of f(x) is given by f''(x) = 15x6(x + 9)5(x2 + 36). Determine the…

A:

Q: se the definition of a derivative to find f '(x) and f"(x). f(x) = 3x² + 6x + 3

A: Given,           fx=3x2+6x+3

Q: Use the first derivative test and the second derivative test to determine where each function is…

A: The given function y=3x+4 Differentiate with respect to x f'(x)=323x+4 f'(x) is not defined at…

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x) = 2x? +…

A: We need to find instantaneous rate of change of  f(x)=2x2+5x+7 at x=3, using limit definition of the…

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x)=7x2+5x+5…

A: Here, f(x) = 7x2 + 5x + 5 The limit definition of the derivative is Thus, we need to find f(x+h),…

Q: 5. Use the definition of derivatives to find f'(2) given that f(x) = 2x² -r+1

A: According to our company guidelines we are supposed to answer only one question since you have asked…

Q: Find the slope of the tangent line to the graph of the given function using the limit definition of…

A:

Q: Use the limit definition of derivative to compute the derivative of ​f(x)equals=44xcubed3. Find…

A: From the given information:

Q: Use the first derivative test to find where the local extrema are on the function f (x) = x³ + 6…

A:

Q: Use the limit definition of the derivative to find f'(x) given that  f(x)=1/(x+5)

A: The given function is f(x)=1x+5 Use the limit definition to find derivative…

Q: .Find the Global Extrema for f(x) = Bx4-BeB-A)x. Use the second derivative to determine if those…

A:

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x) = 6x? +…

A:

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x)=2x2+5x+3…

A: we have to find the instantaneous rate of change of f(x)=2x2+5x+3 at x=3 by  limit definition of the…

Q: 1 . Use the definition of the derivative to compute f'(x) if f(x)

A: We use the limit definition of f'(x)

Q: 2) NOT use the short cut method). Use the result to find the slope of the tangent line at the point…

A: Topic:- Derivative

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x)=6x2+2x+3…

A: The limit definition of derivative is given by: We know that f(x) = 6x^2 + 2x + 3  Now we will find…

Q: 5x3 f(x) = – 14x + 8 3

A:

Q: Use the limit definition of the derivative to find f'(x) given that 1 f (x) = x + 5°

A: Given: fx=1x+5 we know that f'x is given by f'x=limh→0fx+h-fxx+h-x

Q: 3 Use the definition of derivative to find f'(x) for f(x): II

A: Given:

Q: Use the first derivative test to determine the location of each local extremum and the value of the…

A: The given function is f(x)=4xe-x The objective is to determine the location of local extremum and…

Q: Use the fact that the derivative of the function ​f(x)=4/x is f"(x)=-4/x2 to find the equation of…

A:

Q: Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) =…

A: Recall: Slope of the tangent line using the definition of  limit of the derivative:…

Q: 16. Use the limit definition of the derivative to find the instantaneous rate of change for the…

A:

Q: Apply the second derivative test to find the absolute extrema of each function on (0, 0) 6. a) f(x)…

A:

Q: Use the limit definition to find the derivative of f (x), this means no short cut rules, f(x) = x? –…

A:

Q: use the derivative to identify open intervals on which a function is increasing or decreasing…

A: To find the interval on which the function is increasing or decreasing on using the derivative of…

Q: Show with the middle value theorem that the second derivative f'′ has at least one zero (for this…

A:

Q: Estimate the derivative if the following using simple and high-accuracy backward, forward and center…

A: Given that F(x) = 4 tan 3x -2 sin x , h=0.06. Here we have to estimate the derivative of this…

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x) = 4x? +…

A:

Q: use the definition of the derivative to compute f'(x) given f(x) 3x+2

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Q: Show that f x) = Ix- 5| is NOT differentiable at 5 by using the definitien of the derivative, (Start…

A: Definition of derivative:f'(x)=limh→0 f(x+h)-f(x)hf(x)=x-5f(x)=5-x,  x<5x-5,  x≥5L.H.S.…

Q: use the limit definition of deruvative to find the derivative of the given function. f(x)=-5x+79

A:

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x)=√8x+9 at…

A: Here we have to find the instantaneous rate of change of f(x) = √8x+9 at x=1.

Q: Use the limit definition to find the slope of the tangent line to the curve f(x) = square root of…

A: The given curve is  f(x)= y = √(x + 2).. (1)

Q: 2. Use the second derivative to find the inflection points and the intervals on which f(x) is…

A: For inflection point, Put f"(x)=0. For concave upward, f"(x) > 0. For concave downward, f"(x)…

Q: Suppose the derivative of a function fis f'(x) =(x + 1)°(x÷ 3) xH6) On what interval is finereasing?…

A: For f to be increasing, f' must be positive.

Q: Use the limit definition of the derivative to find f'(x) given f(x) = x² – 3x + 5.

A: Given function :

Q: Use the first derivative test to determine the relative extreme values of the function. below. a.…

A: local minima or relative minima is a point on the x-axis at which function has the lowest output…

Q: Use the limit definition of the derivative to find f'(16) for f(x) = the square root of x

A:

Q: Use the definition of the derivative to find f'(x) where f(x) = X – 1 - x + 1

A: Given data: Function : f(x) = (x-1)/(x+1)   The definition of derivative is,   Substitute the…