Start your trial now! First week only $4.99!*arrow_forward*

Question

Calculate dy/dx

Simplify your answer.

y = x^{3}(8 − x^{2})

dy/dx=

Tagged in

Math

Calculus

Find answers to questions asked by students like you.

Q: Double check my answers, wasn't sure of the domain and range

A: Observe the graph and obtain the asymptotes if any.

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. 4. ...

A: We have to use area formula of polar coordinates with a= pi/2 and b=2pi

Q: Questions 19

A: Given:

Q: The operating cost to an airline for having a flight between its west-coast and east-coast hubs chan...

A: Click to see the answer

Q: find any x-values where the tangent to the curve is horizontal, where y=x^3-6x^2+9x+1

A: The given equation of curve is,

Q: I need help solving a Calculus problem. The problem is as follows: C(x) = 100 + 7x - x^2 + 8x^3. Fin...

A: The derivative of a cost function is called marginal cost.

Q: The world's output of primary energy (petroleum, natural gas, coal, hydroelectricity, and nuclear el...

A: It is increasing at the rate of 2.4% annually. So 0.024 every year.growth rate= (1+0.024)=1.024 per ...

Q: What are the reference angles for the following

A: Reference angle is the smallest angle that the terminal side of a given angle makes with the x-axis.

Q: I need help with question 21 in Section 3.11, page 264, of the James Stewart Calculus Eighth Edition...

A: Given,

Q: find the critical points:

A: Given function is and the interval isThe critical points of a function are obtained when the first ...

Q: 4. Find the area that lies inside the curve r = 4 cos and outside the curve r = 2.

A: Given, curves are

Q: f(x)=(2x^3)-(15x^2)-36x+7 on the interval [-6,9]. Find the average or mean slope on this interval. B...

A: Click to see the answer

Q: Can you help me with this problem step by step?

A: Consider the function f(t) = 12t - t3 in the interval [-3, ∞).

Q: Find dy/dx

A: Given expression,

Q: A truck gets 600/x miles per gallon when driven at a constant speed of x mph, where 40 < x < ...

A: It can go 600/x miles in 1 gallon. And cost of 1 gallon is 2.80.So cost for (600/x) miles = 2.80Cos...

Q: Consider the function f(x)=2x^3+6x^2-90x+8, [-5,4] find the absolute minimum value of this function....

A: The function is given by,

Q: 3. For each of the functions below, find a formula for the inverse of f. ea (a) f(x) 1 2e* (b) f(x)I...

A: Part (a)y = ex/ (1 + 2ex)Hence, y(1 + 2ex) = exHence, y + 2y ex = exHence, ex = y / (1 – 2y)Hence, x...

Q: Evaluate the indefinite integral -10 sin (x) cos(x) dx +C

A: Given:

Q: Express the given quantity as a single logarithm In(x 2)7 In x In(x23x 2)2 2

A: Click to see the answer

Q: 3.75 divided by ( 1- 1.00375) -36 negative exponent -36

A: Given,

Q: Suppose an airline policy states that all baggage must be box-shaped with a sum of length, width, an...

A: Let b and h denotes the base length and height of the box.

Q: I need help with question 15 in Section 3.11, page 264, of the James Stewart Calculus Eighth Edition...

A: Using the identity

Q: For each of the following accounts, determine the percent change per compounding period. Give your a...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: Can you help with this problem step by step?

A: As per norms, the first three questions (of the multi-part problem) are answered. To identify the cr...

Q: Can you help with this problem step by step?

A: You have asked a question with multiple sub parts. I will address the first three sub parts. Please ...

Q: Can I get help with this problem step by step?

A: Graph the function, find domain , f\(x) and f’’(x)

Q: f(x) = x4 − 50x2 + 6 x=5/rad(3), -5/rad(3) Find The Y cordinates for both x cordinates

A: Consider the given function:

Q: You are tasked with constructing a rectangular box with a square base, an open top, and a volume of ...

A: Click to see the answer

Q: A rectangular storage container with an open top is to have a volume of 10 m3. The length of this ba...

A: Let L, W & H be the length, width and height.L = 2WVolume, V = L x W x H = 2W x W x H = 2W2H = 1...

Q: The base of the ladder in the figure is a = 5 ft from the building, and the angle formed by the ladd...

A: Given,

Q: Can I get help with this problem step by step?

A: Plese see the typical right circular cone on the white board.Pythagoras theorem results into: r2 + h...

Q: Use the limit process to find the area of the region between the graph of the function and the x-axi...

A: Given:Use the limit process to find the area of the region between the graph of the function and the...

Q: Express -x 2dx as aumit X eSS OF ngnt -hard Riemann Sums las the definition Of the indlefmite T cuva...

A: Given integral

Q: Differentiate y = e*cos x У'3

A: To find the derivative of the function which is exponential in nature

Q: I need help working this problem. I get stuck at this point. I think my algebra is failing with the ...

A: Given function: m(t)=2/(t-1)

Q: HELP ME BEFORE 11:59pm

A: Given, function is

Q: For the composite function, identify an inside function and an outside function and write the deriva...

A: To determine the inside, outside function and derivative of the function with respect to x.

Q: I am very confused about this chapter and specifically on how the homework is breaking the problems ...

A: Given sequence is

Q: Optimization: A family wants to build a fence in their backyard for their dogs. If they can only aff...

A: Click to see the answer

Q: An investment grows at 24% compounded monthly. How many years will it take to do the following? (Rou...

A: Consider the given information:

Q: Find the equation of the tangent line to the curve at the given point using implicit differentiation...

A: To determine the equation of tangent line to the given curve at point (1, 0).

Q: A rectangular tank with a square base, an open top, and a volume of 6912 ft^2 is to be constructed o...

A: Given tank is open at top.So, the surface area is,

Q: Help for 2a,2b,2c.

A: Given,

Q: For what values of x is the graph of y=xe^(−2x) concave down?

A: Find first derivative using product rule and chain rule.

Q: Find the integral of x^2 * cos(4x) dx.

A: To compute the indefinite integral.

Q: see attachment

A: To determine the value of x.

Q: Find the linear approximation to the function. x2 f(x + Δx) ≈ Evaluate it at the given va...

A: Click to see the answer

Q: at time t the position of a body moving along the s-axis is given by s=t^3-6t^2+9t (in meters and se...

A: To determine:Part a) The time t when the velocity is zero.Part b) Acceleration of the body when the ...

Q: Can you help with this problem step by step?

A: Given function is

Q: For the composite function, identify an inside function and an outside function and write the deriva...

A: Consider the given function: