Evaluate the derivative of the following function. f(w) = sin [cos - (7w)] f'(w)=
D1.1. Evaluate f'(a) by using the definition of derivative of a function f(x) = 4x2 + 3x – 5 at a = -2. [4 Marks] D1.2. (a) Find the derivative of y = 4 sin( V1 + Vx). (b) If y = sin(cos(tan(x2 + 3x – 2))), then find the first derivative. [3 Marks] D1.3. Using logarithmic differentiation, find the derivative of y = (sec x)+”.
Question 2-Part B: How many inflection points for the function whose second derivative is f"(x) sin(3x)-cos(x2) for 0 < x < 3 Question 2-Part B: How many inflection points for the function whose second derivative is f"(x) sin(3x)-cos(x2) for 0
Question 1 1 pts Find the derivative of f(x) = cos(sin(3x)). Of"(x) --cos(3x) sin(sin(3x)) O f'() -- 3cos(3x) sin(sin(3x)) Of'(x) - 3cos(3x) sin(cos(3x]) f'x) --sin(3x) cos(cos(3x)) Question 2 1 pts Find the derivative of f(x) = cos(x^2 + 2x). Of "(x)=2x+2 sin(x^2 + 2x) O f'(x)= x^2 sin(x^2+2x) Of"(x)= (2x+ 2) sin(x^2 + 2x) f'(x)= -(x^2 + 2) sin(x^2 + 2x) O f'(x)--(2x + 2) sin(x^2 + 2x) Question 3 1 pts Use implicit differentiation to find the slope of...
13. Evaluate: (emcos x dx. Hint: Notice we see sin x and its derivative cosx. u=sin x is a good choice for substitution. 14. Evaluated as 15. Evaluate: x cos(x") sin(x)dx. Hint: Since the cosine function is taken to the 4n power, try u = cos(x).
Find the derivative of the function. f(0) = cos(02)
Am = } $(w). cos(mkr)dx Bm= f(x) = sin(mkr)dx - Given the periodic quadratic periodic function f(x) = G) "for - <x< . Calculate Ag. There is a figure below that you should be able to see. You may (may not) need: Jup.sin(u)du = (2-u?)cos(u) +2usin(u) /v2.cos(u)du = 2ucos(u)+(u2–2)sin(u) -N2 0
sin(x) in( at x -0.5 using Richardson's Q5: Evaluate numerically the derivative of f(x)-x extrapolation with h 0.1. Obtain D(2,2) as the estimate of the derivative. sin(x) in( at x -0.5 using Richardson's Q5: Evaluate numerically the derivative of f(x)-x extrapolation with h 0.1. Obtain D(2,2) as the estimate of the derivative.
(1 point) Let f(t) = cos(224) - 1 Evaluate the 9th derivative of f at 2 = 0. fº) (0) Hint: Build a Maclaurin series for f(a) from the series for cos(x).
-/1 POINTS SCALC8 2.5.045. Find the derivative of the function. y = cos( V sin(tan(5x)))
Find the derivative of the function. f(x) = x2 cos x f'(x)