If f(x) = 4√√x(x³ - 8√√x+6), Find f'(2). find f'(x).

Q: Let f(x) = In(x). State if the following statement is true or false (a) The graph of f(x) has a…

A: According to bartleby guidelines we are supposed to do only one question.  If you want more to be…

Q: Find the area of the following region. The region common to the circles r = -8 sin 0 and r=4 The…

A: The region common to circles and

Q: Find the point where the tangent line to y = 5x² at x = 0.7 crosses the x-axis. x-intercept =

A:

Q: Find the equation of the planes that contains two lines given by L₁: x= 1-2t, y = 4 + t, z = t and O…

A:

Q: Represent the plane curve by a vector-valued function. (There are many correct answers.) 3x + 8y −…

A:

Q: ㅐㅍ 3 1/2 S (2+4C05(0)) ² do 2 싫어

A: To evaluate the following integral.

Q: Winter FunⒸ has determined that the total cost (in dollars) for its west coast factory to produce…

A: Winter Fin© has determined that the total cost (in dollars) for its west factory to produce Blazing…

Q: Problem 3 Find the areas of the following regions contained in the (x, y)-plane. (1) R = {(x,y) :…

A:

Q: (b) logą (3x - 5) = 4

A: The given equation .The aim is to solve the equation.

Q: 8. Find the derivative of each. N (a) y = sin-¹(x³)

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 45-54. First Derivative Test a. Locate the critical points of f. b. Use the First Derivative Test to…

A: First derivative test :  Let f(x) be the given function and k be the critical point of f.F has local…

Q: 6. A fisheries biologist is stocking fish in a lake. She knows that when there are n fish per unit…

A: The average weight of each fish is:Number of the fish is n

Q: Problem 2: Use Cramer's Rule to solve for the System of Equations by hand: -x + y = 10 5x + 4y = 2

A: By using Cramer's Rule to solve the following system of equations.

Q: Using the given graph of the function f, find the following. (a) the intercepts, if any (b) its…

A: As we can see that the graph has two x intercepts and no y intercept as it not cross y axis other…

Q: Determine Duf (3,-10) for F(X, Y, Z) = 4x - y² ³ 2 3x2 of ✓² = (-1₁4, 2) in the direction

A: Given function have to find the directional derivative in the direction of vector .As we know -

Q: f(x,t)=x²+14x+y²-4y+3. Pls find maxima, minima, & saddle points. Thank you & I will give thumbs up.

A:

Q: Determine the derivative dy da for each of the following equations.

A: (a) y=log8⁡(4)

Q: Find the local linear approximation of f(x) NOTE: Give your answer in terms of x and not Ax. 1 √1+x…

A: we need to find out the linear approximation of the given function at the given point."Note that as…

Q: for the line segment joining the points (7,-4,2), (0,-4,7)

A:

Q: Find the partial derivatives of the function B || || w = √3r² +8s² + 6t²

A:

Q: Consider the second order initial value problem below. Use the Laplace transform to solve it.…

A:

Q: Find r′(t), r″(t), and  r′(t) · r″(t). r(t) = (t2 + 6t)i − 3t2j

A:

Q: Use implicit differentiation to find 있으 9 sin (xy) = 8x + 5y = dy dx

A: we need to find out the derivative of the given function.

Q: Find the directional derivative of f(x, y) = sin(x + 2y) at the point (5, 5) in the direction = 3/4…

A:

Q: 4. A suspension bridge with weight uniformly distributed along its length has twin towers that…

A:

Q: 6. Newton's Law of Gravitation says that the magnitude F of the force exerted by a body of mass m on…

A:

Q: A particle is moving with the given data. Find the position of the particle. v(t) = 1.5√t, s(4) = 12

A: Given, .Given, s(4)=12.

Q: Consider the function f(x) = 2x + cos(2x) on the interval [0, 1]. (a) Find the maximum value of f.…

A: Using application of derivatives we can find the maximum value

Q: A table of values for f, g, f', and g' is given. g(x) 2 8 2 Xx 1 2 3 f(x) 3 1 7 (a) If h(x) =…

A:

Q: The graphs of f and g are given. Use them to evaluate each limit, if it exists. (If an answer does…

A: The graphs of f and g are given. Use them to evaluate each limit, if it exists.(If an answer does…

Q: 4. Letf & g be the functions defined by below by (x²-2 ƒ(x) = √x −e* +(x + 1)(x² −1) & g(x)= 6x-11 x…

A:

Q: Describe the motion of a particle with position (x, y) as t varies in the given interval. (For each…

A:

Q: Utt = √ √ √ 21 3 (2 + 4 cos (0)) do 2

A:

Q: Find the derivative of the function. y = tan-¹(√x- X-8 y' = 1 X

A:

Q: 3. For the function g whose graph is given, state the following. (a) lim g(x) (b) lim+g(x) = x48 (c)…

A: Note:-As per your demand we solve question 3 for you The condition of existence of limit at

Q: Find the angle between u and v in radians. Round to the nearest hundredth of a radian.u=-4i-7j,…

A:

Q: Write the augmented matrix of the given system of equations. 0.05x -0.04y 0.17x+0.40y = 0.04 0.30

A:

Q: Determine the point(s) at which the graph of the function f(x)= horizontal tangent line (when f'(x)…

A: The given function is

Q: 5. Graph the following in polar coordinates (a) rsin = -3 (b) # = 5π 6 (c) 1<r<4

A:

Q: Problem 4 Let z be an independent variable and let y be a dependent variable with respect to . For…

A:

Q: Completty Factor 4 (2x+3) ² - 9x²

A:

Q: Let f be a differentiable function. We are given the following values of ƒ and x |ƒ(x)|ƒ'(x) 4 16 36…

A:

Q: Find the length of the indicated portion of the curve by first finding the arc length parameter…

A:

Q: Use logarithmic differentiation to find the derivative of the function. cos(x) y = sin(x)

A:

Q: Differentiate the function. y = log (e-* cos(TX))

A:

Q: Find the directional derivative of f(x, y, z) = 2³ x²y at the point (3, 5, 3) in the direction of…

A:

Q: Winter Fun will supply a Blazing Blue snowmobiles at price p in dollars for each Blazing Blue…

A: Given

Q: question 3

A: Figure

Q: Use the properties of logarithms to expand the following expression as much as possible. Simplify…

A:

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: We have to find the absolute maximum and minimum values of the function over the indicated interval,…