8. [0/5 Points] DETAILS PREVIOUS ANSWERS Find the derivative of the function. f(t) = 43/2 log&(vt...
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
2. [0/5 Points] DETAILS PREVIOUS ANSWERS LARCALCET7 5.1.018. Find the indefinite integral and check your result by differentiation. (Use C for the constant of integration.) 1 dx |(vx+ 5*) )(2x+1)+ Need Help? Read it Talk to a Tutor 3. [-15 Points) DETAILS LARCALCET7 5.1.038.MI. Find the particular solution of the differential equation that satisfies the initial condition(s). g'(x) = 2x2, g(-1) = 5 g(x) - Need Help? Read It Master it Talk to a Tutor Submit Answer 4. [-15 Points)...
Find the derivative of the function at the given number. f(x) = x2 - 8 at 0 f(0) = [-/1 Points] DETAILS SULLIVANCALC2 2.1.027. Find the derivative of the function at the given number. f(x) = x at 25 f'(25) [-/1 Points] DETAILS SULLIVANCALC2 2.2.053. Find the derivative of the function. 2 f(x) x² f'(x) =
7. [0/1 Points] DETAILS PREVIOUS ANSWERS TANAPCA Find the average value of the function f over the interval [0, 2). f(x) = 7e- Х Need Help? Read It Talk to a Tutor
0/3 POINTS PREVIOUS ANSWERS SCALCETS 4.3.005. The graph of the derivative f' of a function f is shown. 6 8 10 12 (a) on what interval is fincreasing? (Enter your answer using interval notation) On what intervals is f decreasing? (Enter your answer using interval notation.) (by At What values of x does have a local maximum or minimum? (Enter your answers as a comma-separated lista
For each function, identify an inside and outside function. Write an expression for the derivative. For each function, identify an inside and outside function. Write an expression for the derivative. 2. g(t) = 12 ln(542 +) 1. y = (3x – 20) inside: u(x) = inside: u(t) = outside: v(u) = outside: g(u) = 3. f(x) - 43* - 60 4. g(x) = 4(x2 + 2)10 inside: u(2) = inside: u(x) = outside: f(u) = outside: g(u) = 5. 9(2)...
1. (-/1 Points] DETAILS BERRAPCALCBR7 2.4.005. Find the derivative of the function by using the Product Rule. Simplify your answer. f(x) = x (x + 1) F"(x) = Submit Answer 2. [-/1 Points] DETAILS BERRAPCALCBR7 2.4.017. Find the derivative of the function by using the Product Rule. Simplify your answer. F(X) = (7x + 4)(1 = x) f'(x) = 3. [-/1 Points) DETAILS BERRAPCALCBR7 2.4.035. Find the derivative of the function by using the Quotient Rule. Simplify your answer. f(x)...
4. g(t)= 3. y=sin(tan5x) In problems 1-5, find the derivative of the function. Write your answers in simplest form. 1. f(x)=- sinx 2. f(x)=(x +7x-2) 100 1-COS X 3. y =sin(tan5x) 4. g(t)= t+3 5. f(x) = cos(x'cscx) sin(x-3) 6. Find lim 2-3 3x-x?
6. [0/2 points) DETAILS PREVIOUS ANSWERS Find the general (real) solution of the differential equation: y"- 2y'- 15y=-51 sin(3 x) -3x | Ae 5x + Be 34 y(x) = 8.5 + -cos(3x) * 17 51 14 sin(3x) - - Find the unique solution that satisfies the initial conditions: Y(0) = 2.5 and y'(o)=37 y(x) = 7. [-12 Points) DETAILS Find the general (real) solution of the differential equation: y" + 4y' + 4y=64 cos(2x) y(x) = Find the unique solution...
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.)