In Chopin’s “Story of an Hour,” the greatest irony of the story is that:

Provide an appropriate response.Find dy/dx by implicit differentiation. x3 + y3 = 5

Provide an appropriate response.Find for .

Differentiate.Find f'(t) for f(x) = (3x – 3)(5×3 – x2 + 1)

Differentiate.Find f'(t) for f(x) = (5x – 5)(3×3 – x2 + 1)

Provide an appropriate response.Let C(x) be the cost function and R(x) the revenue function. Compute the marginal cost, marginal revenue, and the marginal profit functions.C(x) = 0.0004×3 – 0.048×2 + 300x + 20,000R(x) = 400x

Provide an appropriate response.Let C(x) be the cost function and R(x) the revenue function. Compute the marginal cost, marginal revenue, and the marginal profit functions.C(x) = 0.0005×3 – 0.012×2 + 100x + 30,000R(x) = 450x

Differentiate.Find f'(t) for f(x) =

Find the equation of the tangent line to the curve when x has the given value.f(x) = 4- x2; x = 8

Solve the problem.How long will it take for the value of an account to be $890 if $350 is deposited at 11% interest compounded continuously? Round your answer to the nearest hundredth.