![f(x) 4x²+ 6 - 3x9 + 450 We use the formula, u(2) (x) [V (X)]2 Nowo, f(x) 5 - 66-32C4) [8x - 4 *4-7] -42°+95(-12) (6-327) (6](http://img.homeworklib.com/questions/3d0b7f30-128c-11eb-9201-07bac55485f0.png?x-oss-process=image/resize,w_560)
5x² + x 7) (15 pts) Given f(x) = calculate f'(x). 5-435
4) (15 pts) Given f(x) = -3xº + 5x3 + 3x + V5, calculate f'(x). 5) (15 pts) Given g(x) = 5x3 +67x + m - 2e*, calculate g'(x). 6) (15 pts) Given h(x) = (3x2 + 5e*)(6x4 + 3Vx), calculate h'(x).
Find the derivative of the following function. f(x) = (2x - 3)(3x4 +7x) f'(x) = 2(3x4 + 7x)+(2x - 3)(12x3 +7) f'(x) = 2 + (12x3 + 7) f'(x) = 2(12x3 + 7) f'(x) = 2(3x4 +7x) – (2x - 3)(12x3 + 7)
Find the requested composition of functions. Given f(x) = 4x2 + 3x + 6 and g(x) = 3x - 8, find (g ∘ f)(x).
Find the derivative of f(x) = 3x4 - 8x2+2x–7.
7. (15 pts) Numerical Integration. Given a continuous function f (x) on the interval [a, b], write the Lagrange form of the quadratic polynomial interpolating f(a), (a b)), f(b). Instead of calculating the integral I(f) Jaf(x)dx we could approximate it via Q(f) = | q(x)dx. Find an expression for this quadrature rule, the so-called Simpson's rule.
(15 pts) 7) Using the Divergence Theorem, calculate the flux integral JSF dĀ where F(x, y, z) =< 2 + x2,r2 + y2y +> and S is the closed cylinder 22 + y2 = 1 with 03:31.
Question 15 (5 points) Determine the domain and the range of the function. f(x) = 4x2 - X-3 A
Given f(x)=2x1/4x2/4, calculate the revenue function, the profit function, (WyWyp) (2,18,20), (wi W2.p) (4,18,20), and plot the lsoprofit lines with the given data and production function 1.
Given f(x) = 3x3 + 4x2 + 4x + 3. Find (-1)'0).