We must integrate y = (8x-x2)-(2x) = 6x-x². The limits on the integral correspond to the smallest and largest possible x-values where the two graphs intersect, and so will be (6x-x²) dx.

Q: What is h′(b) when b=4 and h(x)=(6x)^4x?

A:

Q: Differentiate y = 3e2x/(1 + x2.)

A: y=3e2x1+x2

Q: Differentiate. y= In [(x + 4)(5x– 6)(3 – x)] d dy In ((x+ 4)(5x – 6)(3–x))) = |

A: Given: To find: The derivative of the given function.

Q: The function y = 2x2 - ln 4x (x 7 0) has one minimum point. Find its first coordinate.

A: Given  y = 2x2 - ln 4x

Q: Let f(x) = 8 + 2x2. (a) Estimate the area under the graph of f, the x-axis, and the lines x = −1 and…

A:

Q: differentiate y = (x - 1)/(x + 1)

A: Given function: y=x-1x+1 Differentiate the above function w.r.t 'x' dydx=ddxx-1x+1

Q: Find the equation of horizontal asymptote of y=3(0.2^x)+15pi

A:

Q: f ′= (6/(x^2))+ 3√x, f (1) = −5

A:

Q: Find the slope of the graph of the function x2+y2=xy+1/4 at (1/2 , 1/2)

A: Given function is Differentiating both sides with respect to x, we get

Q: Given the function y = x-x² – 6x, to find the total of all the areas between the graph of this…

A:

Q: Find ∫ dx / √(4x2 + 1)

A: Given: ∫14x2+1dx

Q: x² + 8x + 5 x³ + 8x / dx

A: