Find the derivative of the following function. Do not use limits. f(x)=x5+(x3/3)-5x2+2x-3. Then, calculate the value...

Find the derivative of the following function. Do not use limits. f(x)=x⁵+(x³/3)-5x²+2x-3. Then, calculate the value of that derivative at x=1.

Expert Solution

I did the solution in 1st part then i write the formula used. See the step carefully and see the formula also to better understand.

milcah answered 2 years ago

For the following exercises, use the definition of derivative to calculate the derivative of each function. f(x) = 3x3 − x2 + 2x + 5

For the following exercises, use the definition of derivative to calculate the derivative of each function.f(x) = 3x3 − x2 + 2x + 5

For the following exercises, use the definition of derivative to calculate the derivative of each function. f(x) = 5π

For the following exercises, use the definition of derivative to calculate the derivative of each function.f(x) = 5π

Please find f(x') and f(x") for all: 1) f(x) = 3(x2 -2x)3/4(7 - 5x2)6 2) f(x)...

Please find f(x') and f(x") for all: 1) f(x) = 3(x2 -2x)3/4(7 - 5x2)6 2) f(x) = (y - x)4(y2 - x)3 3) f(x) = x7/3 + 16x3 + x 4) = f(x) = (x2 - x) / (y2 - y)

Compute the derivative of each function a.) f(x)= x5/2 - 3x2/3 b.) f(x) = 3x- log7x+7...

Compute the derivative of each function a.) f(x)= x5/2 - 3x2/3 b.) f(x) = 3x- log7x+7 c.) f(x)= 8x6-5x3+3x2-11x+7

1. Use the derivative function, f'(x)f′(x), to determine where the function f(x)=−2x^2+14x−8 is increasing. 2.Use the...

1. Use the derivative function, f'(x)f′(x), to determine where the function f(x)=−2x^2+14x−8 is increasing. 2.Use the derivative function f'(x)f′(x) to determine where the function f(x)=2x^3−27x^2+108x+13 is increasing. 3.Use the derivative function f'(x)f′(x) to determine where the function f(x)=2x^3−27x^2+108x−12 is decreasing. 4.Find each value of the function f(x)=−x^3+12x+9 where the line tangent to the graph is horizontal. x=

Use the secant Method to find a root for the function: f(x) = x^3 + 2x^2...

Use the secant Method to find a root for the function: f(x) = x^3 + 2x^2 + 10x -20, with x_0 = 2, and x_1 = 1.

Find the derivative a)y=(1+x)(x+3)/2x-1 b)y=(1+x3)(3-4x2)+x+6

Each of the following limits represents a derivative f '(a). Find f(x) and a. lim h→0...

Each of the following limits represents a derivative f '(a). Find f(x) and a. lim h→0 (5 + h)3 − 125 h f(x) = a = 5 lim x→2 x3 − 8 x − 2 f(x) = a = 2 lim h→0 52 + h − 25 h f(x) = a = 2

For the function f(x) = x^2 +3x / 2x^2 + 6x +3 find the following, and...

For the function f(x) = x^2 +3x / 2x^2 + 6x +3 find the following, and use it to graph the function. Find: a)(2pts) Domain b)(2pts) Intercepts c)(2pts) Symmetry d) (2pts) Asymptotes e)(4pts) Intervals of Increase or decrease f) (2pts) Local maximum and local minimum values g)(4pts) Concavity and Points of inflection and h)(2pts) Sketch the curve

For the function f(x) = x^2 +3x / 2x^2 + 7x +3 find the following, and...

For the function f(x) = x^2 +3x / 2x^2 + 7x +3 find the following, and use it to graph the function. Find: a)(2pts) Domain b)(2pts) Intercepts c)(2pts) Symmetry d) (2pts) Asymptotes e)(4pts) Intervals of Increase or decrease f) (2pts) Local maximum and local minimum values g)(4pts) Concavity and Points of inflection and h)(2pts) Sketch the curve

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