find the interval where the function is increasing or decreasing  f(x) = 6/x-4

Q: Find the derivative.   g(x) = 4^x/x^4

A:

Q: The function f(x) = x* - 18z is increasing on the intervals

A:

Q: Find the indicated derivative. 5x2 f'(x) for f(x) = %3D 9x - 4 f'(x) =|

A: We are solving the problem by The by parts rule of derivative.

Q: use the definition of derivative to find f prime (x). f(x)= 3(2x-1)^3

A: Given function is fx=32x-13. To find the derivative of the function using definition of derivative.…

Q: Find the derivative. 2 f(x) = 8√2x +9 f'(x) = [

A:

Q: Find the derivative of the function. f(x) = ((x2 + 3)5 + x)2

A: We use the power rule and chain rule.

Q: Find the higher-order derivative. f"(x) =4/x - f(5)(x) =

A: Just I have used the rule of derivative and then find the required derivative of the given function.…

Q: find the extreme values on the interval f (x) = x(10 − x), [−1, 3]

A:

Q: Find f'(x) using the definition of the derivative. 1. f(x)=x^3-1

A: We have given f(x) = x3-1 So using definition of derivative  f'(x) = limh→0fx+h-fxh So f(x+h) =…

Q: Find the equation of the line tangent to the graph of the function at the indicated point. 5) f(x) =…

A:

Q: Determine the intervals where the function f (x) = x ln x (x 7 0) is increasing and where it is…

A:

Q: Find the higher-order derivative. f(4)(x) = (x² + 6)² f(6) (x) =

A: Finding the 6th derivative, given the fourth derivative.

Q: 3x+8x74 F(x)=(7x-K x<4 X=4 11

A: Given f is continuous at x=4

Q: find the derivative  f(x)=x3(x2-1/x2+1)

A: Given:The function f(x) = x3 (x2 − 1)/ (x2 + 1)

Q: Find the derivative of the function. f(x) = x2(x − 2)7

A:

Q: Find the extreme values on the interval:  f (x) = ex − 20x − 1, [0, 5]

A: Given, fx=ex-20x-1 in [0,5]

Q: Find the derivative. f(x) = 8/ 4x + 7 f'(x) = |

A: Find derivative use Chan rule  And use d/dx(x½)=1/2(x)½

Q: Find invers of function f(x)=1/2x+1

A:

Q: p(4)(x) = (x² + 9)² f(6)(x) =

A: Given: f""(x)=(x^2+9)^2

Q: Use the Second Derivative Test to find all relative extrema of the function f(x) = 2x - 6x +7.

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Q: Find the absolute extrema of the function on the closed interval.

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Q: Let f(x) = 3 + 27x – x³.

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Q: Determine the open intervals where the function f(x)= xe^x is increasing and where it is decreasing.

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Q: Find the indicated derivative.f '(x) for f(x) =(x + 3)(x − 4)x2 + 4

A: Given function f(x) = (x+3)(x-4)x2+4differentiating this function with respect to x we get…

Q: Find the derivative. f(x) = 4/6x +7 f'(x) = %3D

A: As we know thatddxxm=ddxxm2=m2xm2-1

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x)=3-2lnx;…

A: To determine equation of tangent line at given point.

Q: Find the first and second derivatives of the function. f(x) = √3x-7     f '(x)=   f ''(x)=

A:

Q: Find the derivative. g(x) = (4x – 2)° – Vr + 8

A:

Q: Find the higher-order derivative. F'(x) - 7x* - 8x? + 5x f"(x) =

A:

Q: find the intervals where the function is BOTH decreasing and concave up. f(x) = (x^3) - (7x^2)-5x+9

A:

Q: Find the derivative. 2 f(x) = 4√√8x² +9 f'(x) =

A:

Q: Find the first and second derivatives of the function. f(x) = 10x10 + 7x7 - x f'(x) = f"(x) =

A: We can solve the problem by doing the derivative of the function.

Q: Find the derivative of the function. f(x) = (3x + 2)3(x2 + x)2

A: Differentiation use product formula

Q: the derivative () of = f(x) = 2

A: Please refer to the image below

Q: Use the definition of derivative to find f(x) = 2-x+2x^2

A: Given,          fx=2-x+2x2

Q: Find interval where f is decreasing

A: From the graph from t = 0 to t = 2   ;          f = 2 from t = 2  to t = 4   ;          f is…

Q: Find the derivative of the function. f(x) =  x3 − 4 x2 + 2

A:

Q: Find the intervals of monotonicity of the function f(x) = 4.

A: Intervals of monotonicity means we have to finds intervals in which function is inreasing or…

Q: Find the derivative. f(x) = 8/2x + 9 f'(x) =

A:

Q: find the derivative  f(x)=x2(x3-1)

A: Apply the product rule and obtain the derivative of the given function.

Q: Find the derivative of the function f(x) = x2 -8x +9 at the number a

A: The given equation is f(x)=x2-8x+9 The derivative of the function is the rate of the change in the…

Q: Evaluate the second derivative of the function at the given point f(x)=9/√x+9    (0,3)

A:

Q: Find the intervals on which the function f(x)=xlnx is increasing and decreasing.

A:

Q: Find the intervals of monotonicity of the function f(x)=x2e−x.

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Q: Find the derivative of the function f(x) = (2x² + 5æ + 2)° at æ : - 2)* - 1 f'( – 1) = 3

A: Given :f(x) = (2x2+5x+2)3 at x = -1First we will find the derivative of the f(x)

Q: Find the line tangent to the function at the indicated point: f(x) = v8x² – 4x ;x = 1 ОУ-12х-10 o…

A: Since there are multiple questions present and you have not specified which question to answer,…

Q: Use the second derivative test to find the extreme values of the function f(x) = 49x + 1. Answer:

A: Second Derivative Test for Local Extrema The second derivative may be used to determine local…

Q: Find the derivative of the function. f(x) = 10/((x ^ 2 - 4) ^ 4)

A:

Q: find the derivative  f(x) = (x-1)3 (x- 1/x)4

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.