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\f1 Suppose that the differentiable function y = x) has an inverse, that the graph off passes through the point (2.4}, and it has a slope of at that point. Find the value 5 atx=4. = (Type an integer or a simplied fraction} E Quiz: Quiz 3.6-3.11 Find the derivative of y with respect to z. y = 7 (24) dy dzUse logarithmic differentiation to find the derivative of y with respect to t. y=t dy dt\fFind the derivative of y with respect to t. y = sin III dy = dt (Simplify your answer. Type an exact answer, using radicals as needed.)Find the derivative of y with respect to t. y = cot 1 5t dy = dtdx Assume that x = x(t) and y = y(t). Let y = x+ 2 and =3 when x = 1. dt dy Find dt when x = 1. dy dt (Simplify your answer.)The original 24 m edge length x of a cube decreases at the rate of 4 m/min. a. When x = 2 m, at what rate does the cube's surface area change? b. When x=2 m, at what rate does the cube's volume change? a. When x = 2 m, the surface area is changing at a rate of m2/min. (Type an integer or a decimal.) b. When x =2 m, the volume is changing at a rate of m /min. (Type an integer or a decimal.)= Quiz: Quiz 3.6-3.11 Find dy dt y = (2+ csc 2t) - 3 dy= Quiz: Quiz 3.6-3.11 Find the tangent to y = ( x" - x + 10 at x = 3. The tangent to y = (x" - x + 10 at x = 3 is y =Quiz: Quiz 3.6-3.11 Find the slope of the curve at the given point. By3 + 3x" = 7y +4x at (1,1) The slope of the curve By" 3 + 3x = 7y + 4x at (1,1) is (Type a simplified fraction.)Quiz: Quiz 3.6-3.11