Question: Please help with these calculus question Show all work for each question. 1. Find the derivative of the following. a. f(x)=13x47x3+5xz+11x+75 (2 marks) b. f(X)=(X3+2X2+4)(X43)
Please help with these calculus question


Show all work for each question. 1. Find the derivative of the following. a. f(x)=13x47x3+5xz+11x+75 (2 marks) b. f(X)=(X3+2X2+4)(X43) (3 marks) 1'. f(x)=156 (1 mark) 9. f(X)=[1-3X)2[X2-2]3 (4 marks) 2X2+1 2 h. f(x)= (3X3+1) (4 marks) 2. Evaluate f"(X) for f(X)=(3.'(27X+4-)8 (3 marks) 3. Find the third derivative of f(x)=12x13x'+4x5+5x2+6 . (3 marks) 4. Find the equation of the tangent line to the curve y=x22x+3 at the point (2,3). (2 marks) 5. Find the point on the parabola y=-X2+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 kmlh, what does this infer? (2 marks) 8. If V represents the volume of an object, what does E represent? (2 marks)
Step by Step Solution
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts
