calc

Find an equation of the tangent line to the curve at the given point. y = 6 x sin x P= (pi/2 , 3pi) i know the slope of a tangent line is equal to the first derivative. For that I got 6xcosx + 6sinx but idk how to put that into the y-y1=m(x-x1) formula to...

q = 1400e^(−0.03p) (a) Write revenue, R, as a function of price. R(p) = (b) Find the marginal revenue. R′(p) =

8. Find the derivative of the function f(x) = cos^2(x) + tan^2(x) 9. Find f '(x) for f(x) = xln(x) - 5ex. 10. Find f '(x) for f (x) = e(^lnx) + e^(x)ln(x) 11. Find the x-coordinate where the graph of the function f(x) = e^(-cosx) has a slope of 0. 12. If...

If f(x) is differentiable for the closed interval [-3, 2] such that f(-3) = 4 and f(2) = 4, then there exists a value c, -3 < c < 2 such that (4 points) If f(x) = ι(x2 - 8)ι, how many numbers in the interval 0 ≤ x ≤ 2.5 satisfy the conclusion of the mean...

(Please show me how you solved this!!) The rate r(t) at which forest is burned in a forest fire, t hours is given in the tabs after the start of the fire. t(hours) 0 3 6 9, r(t) (acres/hour) 5 9 14 16. The amount of forest burned in the first nine hours h...

he revenue from producing q ornamental baskets is given, in dollars, by R(q) = 100q.The cost of producing q baskets is given, in dollars, by C(q) = 1000 + 2q^2. A. The maximum profit is $25 and this occurs when 125 units are produced. B. The maximum profi...

oh! ok! thank you! so then m=6 and the equation of the tangent line would be y=6x Thank you!