Find the derivatives of the following functions. a) f(x) = sin(x²) b) g(x) = ln(cos(x)) c)...
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
5. Find the derivatives of the following functions: (a) f(x) = 3" sin?(5x)
2. (4pts each) Find the derivative of the following functions: You do not need to simplify the answer. CIRCLE FINAL ANSWER. a. f(x) = 2x2e-1 + 7e2x-1 + 3e2e cos (36) b. g(t) = 1+sin(3) c. h(x) = ln(x2). arctan(kx) (k E R) d. f(x) = sin(x) sin(x)
Find the range of the following functions Please solve without using calculus (vii) f(x)sin (sin x) (viii f(x) cos (cos x) (ix) f(x)sin (sin x)cos (sinr) (x) f(x) cos (sin x)sin (cos x) (vii) f(x)sin (sin x) (viii f(x) cos (cos x) (ix) f(x)sin (sin x)cos (sinr) (x) f(x) cos (sin x)sin (cos 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=
Find the second and third derivatives of the following functions by using Matlab 1. f(x) = 3cosx-2sinx x² 2. f(x) = ln(x) - 1 3. f(x) = 5x3 - 2x2 + 7x + 10
Find a formula for terms of f (x) = sin x or g(x) = COS X Enter your answer in terms of sin (x) or uments of functions in parentheses. For example, sin
10. Use the limit definition of the derivative to calculate the derivatives of the following functions. a. f(x) = 2x2 – 3x + 4 b. g(x) = = x2 +1 1 x2 +1 c. h(x) = 3x - 2 a. 11. Find the derivative with respect to x. x² - 4x f(x)= b. y = sec v c. 5x2 – 2xy + 7y2 = 0 1+cos x 1-cosx cos(Inu) e. S(x) = du 1+1 + + f. y =sin(x+y) g....
2. Find the Laplace transform of the following functions (a) f(t)3t+4 (b) cos(2Tt) (c) sin(2t T) (d) sin(t) cos(t) "Use Trig. Identity" (e) f(t) te 2t use first shifting theorem
The hyperbolic cosine and hyperbolic sine functions, f(x) cosh(x) and g(x) sinh(), are analogs of the trigonometric functions cos(x) and sin(z) and come up in many places in mathematics and its applications. (The hyperbolic cosine, for example, describes the curve of a hanging cable, called a catenary.) They are defined by the conditions cosh(0)-l, sinh(O), (cosh())inh("), d(sinh()- csh) (a) Using only this information, find the Taylor polynomial approximation for cosh(x) at0 of COS degree n = 4. (b) Using only...