Please solve 1-9 and show work clearly please!

(50 POINTS) Find the derivative 1. cos(x2ex) 2. sin(cos(5x2) 3. sin(cos(5x)) 4. logz(kx2) 5. Vx + In(3x) 15 ft /min 10 15 6. (10 POINTS) Water is being poured at a rate of 15 cubic feet per minute into a conical reservoir that is 20 feet deep and has a top radius of 10 feet. How fast is the water level rising when the water is 10 feet deep? 20 7. (10 POINTS) Find the equation of the lines tangent to the function y = 3x4 - 5x + 6x + 8 at x = 1 Show graph of the function and tangent line. 8. (10 POINTS) find the derivative of f (x) = (3x + 7)5 sin(2x). 9. (20 POINTS) Fin the derivative in two ways: (a) by using the "usual" differentiation patterns, and (b) by using logarithmic differentiation. y =- Vx+10 (2x+ 3) 3