1. (-/1 Points] DETAILS BERRAPCALCBR7 2.4.005. Find the derivative of the function by using the Product...
10. (-/6.25 Points] DETAILS LARCALC11 2.R.037. Use the Product Rule or the Quotient Rule to find the derivative of the function. y = 4x sec(x) 11. [-76.25 Points] DETAILS LARCALC11 2.R.050. Find the second derivative of the function. h() = 18 cos(t) - 17 sin(t) h"(t) =
Find the derivative of the function. F(x) = x – 5x V x √x (a) Simplify the function to the point where you will not need the Product or Quotient Rule (b) Use the part a), find the derivative of the function. F'(x) =
Using the definition, calculate the derivative of the function. Then find the values of the derivative as specified. f(x) = 3 + x2: f'(- 9), F 'O), f (9) Using the definition, calculate the derivative of the function. Then find the values of the derivative as specified. 4 96) = 3. g'(-2), g'(4), g(6) o't)= dx if y = 7x3 dy || s={3 - 4+, t= -6 s'(t)= 0 ne indig y=f(x)= 3 + 14-x, (x,y)= (0,5) The derivative of...
1120 Page 1 of 1. Find the derivative of the function y = + + x2 using (a) the quotient rule (b) the product rule (without using the quotient rule) (c) the power rule (without using the product rule or quotient rule) For cach, clearly show and/or explain how to use the respective rule to find the derivative. (d) Which method, (a), (b), or (e), do you think is best for finding this derivative? Why?
Please provide all steps: a) Use the Product Rule to find the derivative of the given function. b) Find the derivative by multiplying the expressions first. y= (57x + 3) x2 a) Use the Product Rule to find the derivative of the function. Select the correct answer below and fill in the answer box(es) to complete your choice. O A. The derivative is (57x + 3) x2 + . OB. The derivative is ( x + ( vx. O C....
5. (10 points) Let f(x) = -(9x² +6x+2). Then according to the definition of derivative f'(x) = lim h0 (Your answer above and the next few answers below will involve the variables x and h. We are using h instead of Ar because it is easier to type) We can cancel the common factor — from the numerator and denominator leaving the polynomial Taking the limit of this expression gives us f'(x) = 6. (10 points) Let f(x) = x3...
Find the derivative of the function. y=5 e 2x2-3 dy 80 e 2x2x2 * + 20 e 2x2 X X Try again. Differentiate the exponential using the Chain Rule. to le 9(x) = g(x)g'(x) OK Find the derivative of the given function. y = (3x2 + 5x) -7x e -7x -7x y' = -21 e -7xx2 -29 +5e (Type an exact answer.) x X That's incorrect. The product rule states that if f(x) = u(x)•v(x), and if both u'(x) and...
8. DETAILS SCALCET8 2.8.502.XP. Find the derivative of the function using the definition of derivative. f(t) = 3t - 862 f"(t) State the domain of the function. (Enter your answer using interval notation.) State the domain of its derivative. (Enter your answer using interval notation.)
3. (8 points each) Find the derivative of each function. Show as much work as possible. Do not simplify your answer. 2 (a) f(x) = x-0.5(1 – e2) + 4* + x4 x 2 93 (b) P(t) = + 2-t2 5+5e-3t (c) k(x) = 3 ln(2x +1) VX-5
Please answer all 3. Complete the table to find the derivative of the function. Original Function Rewrite Differentiate Simplify 5 y = - fax2 80x Need Help? Read It Talk to a Tutor [-/1 Points] DETAILS LARCALCET7 3.2.034. MY Find the slope of the graph of the function at the given point. Use the derivative feature of a graphing utility to confirm your results. Function y = 9x4 - 10 Point (1, -1) y'(1) = Need Help? Read It Talk...