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1. Find the critical numbers of the function f (x) = x^3− 12x in the interval...

1. Find the critical numbers of the function f (x) = x^3− 12x in the interval [0, 3]. Then find the absolute maximum and the absolute minimum of f(x) on the interval [0,3].

2. Using only the limit definition of derivative, find the derivative of f(x) = x^2− 6x (do not use the formulas of derivatives).

Expert Solution

Hence,

milcah answered 2 years ago

Find f 1)f”(x)=-2+12x-12x(Square), f’(0)=12 F(x)=? 2)Find a function f such that f’(x)=5x cube and the line...

Find f 1)f”(x)=-2+12x-12x(Square), f’(0)=12 F(x)=? 2)Find a function f such that f’(x)=5x cube and the line 5x+y=0 is the tangent to the graph of f F(x)=? 3)A particle is moving with the given data. Find the position of the particle a(t)=11sin(t)+4cos(t), s(0)=0, s(2pi)=16 s(t)=? (please i need help)

(a) Find the critical numbers of the function f(x) = x8(x − 1)7. (b) What does...

(a) Find the critical numbers of the function f(x) = x8(x − 1)7. (b) What does the Second Derivative Test tell you about the behavior of f at these critical numbers? (c) What does the First Derivative Test tell you? (Enter your answers from smallest to largest x value.)

1. Find the critical numbers for the following functions (a) f(x) = 2x 3 − 6x...

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9. Let f (x) = x^3 − 10. Find all numbers c in the interval (-11,...

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Let f(x) = -2x3 - 9x2 - 12x + 3. Find the following: a) The domain...

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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

Consider the function below. f(x) = ex 3 + ex Find the interval(s) where the function...

Consider the function below. f(x) = ex 3 + ex Find the interval(s) where the function is decreasing. (Enter your answer using interval notation. If an answer does not exist, enter DNE.) Find the local maximum and minimum values. (If an answer does not exist, enter DNE.) Find the inflection point. (If an answer does not exist, enter DNE.) Consider the function below. f(x) = x2 x2 − 16 Find the interval(s) where the function is increasing. (Enter your answer...

Let f (x) = 12x^5 + 15x^4 − 40x^3 + 1, defined on R. (a) Find...

Let f (x) = 12x^5 + 15x^4 − 40x^3 + 1, defined on R. (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 maxima, the local minima, and the inflection points. (d) Find the Maximum and Minimum Absolute of f over [−2, 2].

(x^3-3x^2-x+3)/(x^2+x-x) find critical numbers ,relative min/max and graph the function

Consider the function f(x)=A(1+x/3) for –1 < x < 1. Find the value of A that...

Consider the function f(x)=A(1+x/3) for –1 < x < 1. Find the value of A that makes this function a pdf. Find the probability that X<1/2. Find the cdf of X. Use the cdf to find the probability that X > -1/2.