exercise #1 Find the derivatives of f(x) g(x) = sin(t) exz FLX) = G(X) = cs...
Find the derivatives of the following functions. a) f(x) = sin(x²) b) g(x) = ln(cos(x)) c) h(z) – In(1002? + 47x)? d) k(z) = resin(2)
5. Find the derivatives of the following functions: (a) f(x) = 3" sin?(5x)
Express the function 1 Ef o < X LT flx) = sin 2x if TL x <211 if x720 -y e step functions in terms of the unit
Question 2 (20 points): Consider the functions f(x, y)-xe y sin y and g(x, y)-ys 1. Show f is differentiable in its domain 2. Compute the partial derivatives of g at (0,0) 3. Show that g is not differentiable at (0,0) 4. You are told that there is a function F : R2 → R with partial derivatives F(x,y) = x2 +4y and Fy(x, y 3x - y. Should you believe it? Explain why. (Hint: use Clairaut's theorem) Question 2...
2 find f (x It flx) = x3 - 2 583-2; f-'(x) 73-2-$'(X)
Find all the first and second order. partial derivatives of f(x, y) = 8 sin(2x + y) - 2 cos(x - y). A. SI = fr = B. = fy = c. = f-z = D. = fyy = E. By = fyz = F. = Sxy=
Suppose that the functions f and g and their derivatives with respect to x have the following values at the given values of x. Find the derivative with respect to x of the given combination at the given value of x. x/t(x) g(x) f'(x) g'(x) 3 1 16 6 5 4 - 3 3 4 N f(x) g(x), X = 3 Select one: O A. 197 OB. 37 O C. 101 OD. 60 to the integral
Find the Laplace transform F(s)=L{f(t)} of the function f(t)=cos(5t)+sin(2t). WebW G clegglind X G Find te Lap X Grd the Lap 73-91+1 X Grd the Lapie x CA Find The X C Salvu Part D X Which Sat X G 57 - Google x + X - J ONPⓇ C courses1.webwork.maa.org/webwork/etown-ma321/Homework 15/7/?key - LOFGDENTLO5MZ7GZH4CX97ftob PAY8n9&effective User-WALLACEB&user-WALLACEB Www Elizabeth Wireless Calphone computer Scani Dashboard cqin carvas Habitacidcor ow to use the inte Apps WebWork M AA MATHEMATICAL ASSOCIATION OF AMERICA logged...
4. (5 points) (a): Find all second partial derivatives of f(x, y) = re-2ry, (b): Find dw/dt at t = 1 if w = re + y sin z - cosz, r= 2/t, y=t-1+ lnt, and 2 = t.
1. (20 points) Find derivatives of the following functions. (a) f(x) = 1012 (b) g(x) = (ln(x2 + 3)] (c) h(x) = Vx+V2 (d) y=et +e? – x-e