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)
larcalc11 2.2.509 Find the derivative of the function. 8x2 - 4x + 7 f(x) = f'(x) =
4pts 1) Find the second derivative of the function f(x) = 3x4 + 2Vx
Find the derivative of the function. y= 3x4 +7 x2
If P (x) = x4 -3x3 +5x-7 and R(x) = 3x4 +2x - 4, find P (x) - R (x)
Let f be the function defined as follows. y=f(x)=8x2-2x+10 (a) Find the differential of f. dy = (b) Use your result from part (a) to find the approximate change in y if x changes from 2 to 1.97. (Round your answer to two decimal places.) dy = (c) Find the actual change in y if x changes from 2 to 1.97 and compare your result with that obtained in part (b). (Round your answer to two decimal places.) Δy =
(Product Rule) Use the Product Rule to find the derivative of the function. f(x) = (4x+5)(x2 -8) O a. 2x + 4 Ob. 12x² + 10x - 32 O c. 8x O d. 8x2 – 40
y = 8x2 + 2x + 4 √x y' = X Need Help? Read It Watch It Master it Submit Answer 14. [-/1 Points] DETAILS SCALCET8 3.1.046. Find the first and second derivative of the function. G(r) = VP+ vi G'() = G"(r) 11 Need Help? Read It Watch It Talk to a Tutor
Find the derivative of 6x3 - 2x + 1 f (2) [In other notation: f(x) = (6x^3 -2x +1) 7 x^(1/3)] (Simplify your answer as much as possible.) If your answer does not look like any of the four below, try choosing a number for x and plug it into your answer. Then plug that same number into each of the four answers to see which one matches. 1 1671 +- c 3 0 6x3 - 2x3 + x o...
7*). Using this definition, Derivative of a function f (x) can be expressed as f'(x) = lim ** find out the first order derivative (f'(x)) of the following functions: h 0 h f(x) = 2x2 + 4 f(x) = 2x (4 points) (4 points)