The interval in which the function is decreasing is at x2 бх + 1 2 x3 y = 3

Q: ) Find a function ƒ such that f'(x)= x³ +3 and such that the line y+5x O is tangent to the graph of…

A: Given, f'(x) = x3+3  and the line  y +5x =0 is tangent to the graph of f   Let's assume the function…

Q: Find the slope of the secant line between x=2 and x=5 on the graph of the function f(x)=−2x2+2x+3.

A: We have to find  the slope of the secant line between x=2 and x=5 on the graph of the function…

Q: B- Find the local extreme points of the function f(x, y) = 4xy - x - y^.

A:

Q: nd the points where the function f(x) = (x² – 1)³ is decreasing, -

A:

Q: The graph of the linear function f(x) passes through the point (x, y) = (1, m), where m is the slope…

A: Given:Graph of f(x) passes through the point (x, y) = (1, m), where m is the slope of the line.

Q: (d) Find the interval(s) where f(x) is decreasing.

A: There are mainly two ways roughly by which a function's behavior can be obtained and first method is…

Q: d) Find the value of the constants ´ a ' and “ b ` that makes the function continuous at x=3 ; x3

A: f(x) is continuous at x = k if

Q: Find the intervals on which the function y=xx(x>0) is increasing and decreasing.

A: We take ln on both sides of the function

Q: Find the value of constant K that makes the function below continuous at x = 2. -2x X < 2 X-2 f(x)…

A: Given,           fx=x2-2xx-2 ; x&lt;2kx-3 ; x≥2

Q: Find the equation of the secant line on the curve f(x) = -x²+2 passing through the points xo = -1…

A:

Q: Find the slope of the tngent line to the graph of the given function at the given Value of X.…

A:

Q: Find the slope of the secant line between x=−2 and x=3 on the graph of the function f(x)=−2x2 −5x+1.

A: The point on the graph when x =-2 is given by plugging x=-2 in the function:Hence, the point on the…

Q: Locate the discontinuities of the function. 2 f(x) = 1 + e7/x

A:

Q: Find f'(2) if y = f(x) is the nonnegative function defined for x, y > 0 by the equation x" = y?.

A: To find f’ (2), if y = f (x).

Q: Find a function f such that f (x) = 2x3 and the line 54x + y = 0 is tangent to the graph of f. f(x)…

A: Key point used: The slope m, of the tangent to f(x) at point h,k, is equal to f'x=h. Given:Eq of…

Q: Left f(x) = Vx² – 8 be a function defined on the interval [0, c). Find the solution to f(x) =0.…

A:

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

A: Given: fx=x2+5x,  -4,0   To Find: The absolute extrema of the function on the closed interval.

Q: Find the value of the constant (a , b, or c) that makes the function continuous.

A: the given function is: fx=x2-c          for x&lt;54x+2c      for x≥5 we have to find the value of c…

Q: The function f(x)=x2 is decreasing on the interval...................... .

A: Given,f(x)=x2 f(x)=x2 On differentiating both sides w.r.t x we get: f'(x)=ddx(x2)⇒f'(x)=2x Now, we…

Q: Determine where the function f(x) = √ x / x + 1 is increasing and where it is decreasing.

A: fx=xx+1

Q: The slope of the line tangent to the graph of f(x) = 15 – 3a2 at the point z = -8 %3D 48 96 O 12 O…

A: Solution is given below : Answer: 48

Q: Find the slope of the line tangent to h(x) = f(x)g(x) at x = 6, given that the line tangent to the…

A: We have to find

Q: Find the linear approximation of the function below at r = -1 and use it to approximate f(-0.8). -7x…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: Find all critical points of the function:  f (t) = 8t3 − t2

A: If f has a local extremum (maximum or minimum) at C and if f'(c) exists, then f'(c)=0. A critical…

Q: 1. Given the function f(x) = Vx5 – 3Vx², find the interval(s) of increase.

A:

Q: Find a function f such that f'(x) = 2x³ and the line 54x + y = 0 is tangent to the graph of f. f(x)…

A:

Q: On what interval(s) is the function f(x) = x* – 4.x³ both decreasing and - up? concave A

A:

Q: 2. Use the graph of the function f(x) to estimate where (a) f'(x)= 0, y f(x) (b) f'(x) 0.

A: (a) f'(x) =0   =&gt; the slope is zero, it means when the graph is parallel to x-axis  i.e. at…

Q: 7) Find the difference auotient. f(x+h)-f(x) for the function, f(x) = x² + 3x - 4.

A:

Q: Find the slope of the secant line between x=−1 and x=2 on the graph of the function f(x)=−3x3+4x2+2.

A:

Q: . Give a function f (x) which tends to 0 as x tends to infinity.

A: We have to find a function which tends to 0 as x tends to infinity.

Q: Find an equation of the line tangent to the graph off(x) at the point (5, 9):f(x) =e^(x^2−3x−10)+ 8

A:

Q: Find the extreme values of the function f(x; y) = x2 + y2 + xy on the curve x2 + 2y2 = 1.

A:

Q: What happens to the function f (x) = 1 + as x approaches to zero.

A: The definition of the function gx=x is given by, gx=x for x≥0=-x for x&lt;0 Thus, the left hand…

Q: f(x) = is the range in which the function is decreasing.

A: fx=exx Differentiating with respect to x, we get f'x=dexdx·x-dxdx·exx2…

Q: The interval in which the given function is decreasing is at y = x3 – x2 – 5x – 4

A:

Q: Find the interval on which f(x) =x'e is increasing.

A: We find f'(x) using the product rule

Q: Find the point on the graph of f(x) = Vx that is closest to the point (5, 0). (x, y) =

A: Use distance between point concept and then differentiate

Q: The graph of f(x) and a line tangent to the curve at x = 4 are shown. If g(x) = V f(x), evaluate…

A: To find: The value of g'(4) if g(x)=f(x). Concept used: Chain rule: f(g(x)=f'(x)g'(x)

Q: Find the slope of the secant line between x=3 and x=5 on the graph of the function f(x)=−2x^2+2x+5.

A:

Q: Find the intervals where the function f(x)= x^2e^3x is concave up.

A:

Q: 1. Plot the function f(t) = (x+5) %3D 4+3x2 for -35 x 5.

A:

Q: Find k so that the function f(x) = x² + kx will be tangent to the line y = 2x-9

A: Here, the given function is: f(x)=y=x2+kx...(1) And also given that the tangent line to the given…

Q: The interval in which the given function is decreasing is at 3 points y = x3 – x2 – 5x - 4 (-00, -1)…

A:

Q: For the function f(z) = ¹, the point z 1-e Z = 0 is

A:

Q: On what interval(s) is the function -9x3 g(x) = e both decreasing and concave down?

A: The interval in which the given function g(x) is both increasing and concave down must satisfy the…

Q: The range of the function y= 16-x2 is the interval [0, 0)

A:

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

A:

Q: Find a function f such that f '(x) = 5x3 and the line 40x + y = 0 is tangent to the graph of f. f(x)…

A:

Q: Find the point on the graph of the function that is closest to the given point. f (x) = Vx - 3 (18,…

A: