This is Simple calculous

Show all work for each question. 1. Find the derivative of the following. a. f(x)=13x'7x3+512+11x+75 (Zmarks) b. f(x):(x3+2xz+4)(x'3) (3 mam) 3xz 6x+7 c. flx)=4x_1 {3 marks} '1' d. f(x)=(4x37x) (3 marks) Please help with these calculus question e. 12 = y2 + x2 (3 marks) f. f (x) = 156 (1 mark) 9_ f(x)=(13x)1(x12]3 marksi 2 2 1 2 h. f(*)'(3:.:1) (4 marks} 8 2. Evaluate f"(x) tor f (X)-[3x27X+4) {3 marks} 3. Find the third derivative of {(x)=12x'3x7+4x5+512+6 . (3 marks) 4. Find the equation of the tangent line to the curve y=x32x+3 at the point (2.3). (2 marks) 5. Find the point on the parabola y =Xz+3x+4 where the slope of the tangent line is 5. (2 marks) 6. Give one example of a rate that is decreasing and one example of a rate that is increasing. (2 marks) 7. When a vehicle is said to be travelling at -35 kml'h. what does this infer? (2 marks) dV 8. If V represents the volume of an object. what does I represent? {2 marks)