Differentiate each. give reasonably simplified answers. Box ANSERS. (a)=ln[(x^9(5x+1)^4(11x+2))/((8x+9)(3x^5-2x+1))] (b) y=log[((8x+3)^2 * (x^3+5x^2-9x+1))/(7x+3)^5] (c) Given f(x)=(4x)^10x^3,...

Differentiate each. give reasonably simplified answers. Box ANSERS.

(a)=ln[(x^9*(5x+1)^4*(11x+2))/((8x+9)(3x^5-2x+1))]

(b) y=log[((8x+3)^2 * (x^3+5x^2-9x+1))/(7x+3)^5]

(c) Given f(x)=(4x)^10x^3, find f'(x)

(d) Differentiate f(x)=4x^10x^3, find f'(x)

Expert Solution

milcah answered 2 years ago

consider the function f(x)=3x-5/sqrt x^2+1. given f'(x)=5x+3/(x^2+1)^3/2 and f''(x)=-10x^2-9x+5/(x^2+1)^5/2 a) find the local maximum and minimum...

consider the function f(x)=3x-5/sqrt x^2+1. given f'(x)=5x+3/(x^2+1)^3/2 and f''(x)=-10x^2-9x+5/(x^2+1)^5/2 a) find the local maximum and minimum values. Justify your answer using the first or second derivative test . round your answers to the nearest tenth as needed. b)find the intervals of concavity and any inflection points of f. Round to the nearest tenth as needed. c)graph f(x) and label each important part (domain, x- and y- intercepts, VA/HA, CN, Increasing/decreasing, local min/max values, intervals of concavity/ inflection points of f?

2. Let f(x)=2x^2−4x+7/5x^2+5x−9, evaluate f '(x) at x=3 rounded to 2 decimal places. f '(3)= 3....

2. Let f(x)=2x^2−4x+7/5x^2+5x−9, evaluate f '(x) at x=3 rounded to 2 decimal places. f '(3)= 3. Let f(x)=(x^3+4x+2)(160−5x) find f ′(x). f '(x)= 4. Find the derivative of the function f(x)=√x−5/x^4 f '(x)= 5. Find the derivative of the function f(x)=2x−5/3x−3 f '(x)= 6. Find the derivative of the function g(x)=(x^4−5x^2+5x+4)(x^3−4x^2−1). You do not have to simplify your answer. g '(x)= 7. Let f(x)=(−x^2+x+3)^5 a. Find the derivative. f '(x)= b. Find f '(3)= 8. Let f(x)=(x^2−x+4)^3 a. Find the...

f(x)= 9x^4-2x^3-36x^2+8x/3x^3+x^2-14 -Factor the numerator and denominator of f(x) completely. -Write the domain of f(x) in...

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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

Question1: Find the interval of increase and decrease of given function f(x)=3x^5-5x^3 f(x)=1/3 x^3-9x+2

\int \frac{x^6+5x^4+4x-3}{\left(x^2+3x+5\right)\left(x^2+7x+12\right)}dx

Evaluate the integral (x^3+2x^2-4x+5)/(3x^2+x-10)dx

f(x) =2x^5-5x^4-10x^3+1 is defined as all real numbers a) find the intervals where F is increasing...

f(x) =2x^5-5x^4-10x^3+1 is defined as all real numbers a) find the intervals where F is increasing and decreasing b) find the intervals where F is concave up and concave down c) find the local maximum, minimum and the points of inflection. d) find the absolute maximum and minimum of F over [-2,2]

Factor the following: a) f(x)=x^5+5x^4-21x^3-137x^2-88x+240, knowing that f(5)=0 and f(-3)=0. b) f(x)=x^3+8x^2+5x-50 c)f(x)=-x^4-4x^3+19x^2+46x-120, knowing that (x+5)...

Factor the following: a) f(x)=x^5+5x^4-21x^3-137x^2-88x+240, knowing that f(5)=0 and f(-3)=0. b) f(x)=x^3+8x^2+5x-50 c)f(x)=-x^4-4x^3+19x^2+46x-120, knowing that (x+5) and (x-2) are factors.

Integral x^5-x^4+4x^3-4x^2+8x-4 / ( x^3+2)^3(x^2-1) dx

Question

Differentiate each. give reasonably simplified answers. Box ANSERS. (a)=ln[(x^9(5x+1)^4(11x+2))/((8x+9)(3x^5-2x+1))] (b) y=log[((8x+3)^2 * (x^3+5x^2-9x+1))/(7x+3)^5] (c) Given f(x)=(4x)^10x^3,...

Solutions

Expert Solution

Related Solutions

consider the function f(x)=3x-5/sqrt x^2+1. given f'(x)=5x+3/(x^2+1)^3/2 and f''(x)=-10x^2-9x+5/(x^2+1)^5/2 a) find the local maximum and minimum...

2. Let f(x)=2x^2−4x+7/5x^2+5x−9, evaluate f '(x) at x=3 rounded to 2 decimal places. f '(3)= 3....

f(x)= 9x^4-2x^3-36x^2+8x/3x^3+x^2-14 -Factor the numerator and denominator of f(x) completely. -Write the domain of f(x) in...

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

Question1: Find the interval of increase and decrease of given function f(x)=3x^5-5x^3 f(x)=1/3 x^3-9x+2

\int \frac{x^6+5x^4+4x-3}{\left(x^2+3x+5\right)\left(x^2+7x+12\right)}dx

Evaluate the integral (x^3+2x^2-4x+5)/(3x^2+x-10)dx

f(x) =2x^5-5x^4-10x^3+1 is defined as all real numbers a) find the intervals where F is increasing...

Factor the following: a) f(x)=x^5+5x^4-21x^3-137x^2-88x+240, knowing that f(5)=0 and f(-3)=0. b) f(x)=x^3+8x^2+5x-50 c)f(x)=-x^4-4x^3+19x^2+46x-120, knowing that (x+5)...

Integral x^5-x^4+4x^3-4x^2+8x-4 / ( x^3+2)^3(x^2-1) dx

Question

Differentiate each. give reasonably simplified answers. Box ANSERS. (a)=ln[(x^9*(5x+1)^4*(11x+2))/((8x+9)(3x^5-2x+1))] (b) y=log[((8x+3)^2 * (x^3+5x^2-9x+1))/(7x+3)^5] (c) Given f(x)=(4x)^10x^3,...

Solutions

Expert Solution

Related Solutions

Differentiate each. give reasonably simplified answers. Box ANSERS. (a)=ln[(x^9(5x+1)^4(11x+2))/((8x+9)(3x^5-2x+1))] (b) y=log[((8x+3)^2 * (x^3+5x^2-9x+1))/(7x+3)^5] (c) Given f(x)=(4x)^10x^3,...