<)=3x*-4x³ concave downward on interval . si f(x)=3x4-4x³ cekung ke bawah pada daen > 3 < x < 2/3 < x < 3/2

Q: Given 3y = x^3 + 3x^2 - 9x + 3, Find the relative extrema of f by applying the second-derivative…

A: Given ,  3y=x3+3x2-9x+3. Let y= f(x) Above equation can be written as     y=x33+x2-3x+1     or…

Q: Given the function: f(x)=(x^2-2 where, x/= 4). State whether the function is continuous at x=4

A:

Q: Find F if del-F = (2xy, (x^2 + 20y^3))

A: We have to find out

Q: f(x) =4x^3 -24x^2 -60x a. find all values of x that correspond to horizontal tangent lines. b.…

A: GIVEN FUNCTION  IS f(x)=4x3-24x2-60x   Now first order derivative be f'(x)=12x2-48x-60=0 Solution a:…

Q: Is function f even, odd, or neither? f(x)=3|x|+5x^3

A: Find f(x) is even, odd, or neither.

Q: Determine for what x values the function f(x)=x^2-3x+2/x^2-1 is discontinuous

A: Function is discontinuous at that point where denominator of the function  not define

Q: Find the domain

A: Given: f(x)=30x3+31x2-25x-612x3-59x2-11x+30 To find: The domain of the f(x).

Q: Find all real numbers  x such that  x^6−3x^3−18=0. Give your answers in increasing order.

A:

Q: Determine the interval(s) for which f(x)=96x^2-x^4  is concave up.

A: Given function is: fx=96x2-x4 Differentiating we get, f'x=ddx96x2-x4f'x=962x-4x3f'x=192x-4x3

Q: X^4+y^2=3 find the slope of the function above at (1,-sqrt2)

A: Explanation of the solution is given below....

Q: Determine the slope of the secant line for the following function that passes through the given…

A: Topic = Functions

Q: Show that for any real constants a and b, where b > 0, (n + a)» = ©(nº)

A: To show for any real constants a and b where b &gt; 0, n+ab=Θnb

Q: does y^2+x^2=4 define y as a function of x?

A: A relation from a set X to another set Y is called a function if each element of X is related to…

Q: If sqrtx-6/sqrtx+6, find f'(x) and f'(3).

A: We have to find derivative of f(x) and f'(3), where f(x) is given by ,

Q: Find the slope of f(x)= (x^2-1)-(2x-3) at x=2

A:

Q: The fourth derivative for * 3 points y = x3 - 3x2 + 2 are 6x-6

A:

Q: Find the slope of the line at the point x = 2 for the function f(x) = x ^ 2 * (3x - 2) 12 16 40…

A:

Q: find a x-coordinate of the point on the curve xy=x^3-2/3x^2+2x+1/12, where the tangent line is…

A:

Q: check uniquness and existance for fixed point while f(x)=(2x+1)^-3 in [1,2]

A:

Q: On what interval is the function x^3-4x^2+5x concave down

A:

Q: At which interval of x is the function of P(x)=(sqrt(1-x^2)) discontinous?

A: