Find the value of the derivative. dy if y = 7 - 5x2 dx - Ix= - 4 dy dx (Simplify your answer.) IX= - 4Use I'Hopital's Rule to find the limit. * 6* lim 2 X-064 - 1 *6* lim E X-06" - 1 (Type an exact answer.)\fFind the slope of the curve y = 9x2 at (5,225). \"3 The slope of the curve y = 9x2 at (5,225) is El. (Simplify your answer.) \fdy Write the function in the form y = f(u) and u = g(x). Then find a as a function of x. y=e_16X Which of the following has the function in the form y = f(u) and u = g(x)? {}A.y=1&Lu=a 11:) C. y =16u, u = (3X b \fEvaluate the integral. 9/t e 2 dt 9/t e dt = 2> Find the total area of the shaded regions. The total area of the shaded regions is (Simplify your answer.) 1 Vi ++ ii +++ \fFind the average rate of change of the function over the given interval. R08) = 4/59 +1 ; [0,7] l t> AR E = D (Simplify your answer.) f ( x + h) - f(x) Limits of the form lim h occur frequently in calculus. Evaluate this limit for the given value of x and function f. h -0 f( x) = x, x=5 12 ) . . . The value of the limit is . (Simplify your answer.)Use a definite integral to find the area of the region between the given curve and the x-axis on the interval [0, b]. y=9x2 The area is D. B)