11.1 Use the four step process to find the derivative of f(x) = -4r? - 2x...
5. Use the limit definition to find the derivative of f(x) = V3x + 2. (6 points) 6. Find the derivatives of the following functions. Do not simplify after taking the derivative. 5 points each a. f(x) = (4x2 +1) c. h(x) = arcsin(3x2+ 2x-1) b. h(x) = 3sec(x2)
Use the four-step process to find the slope of the tangent line to the graph of the given function at any point. (Simplify your answers completely.) f(x) 8x² + 3x Step 1: f(x + h) = 16x + 24h + 3 X Step 2: f(x + h) - f(x) = n(8h + 2x + 3) X Step 3: f(x + h) - f(x) h 8h + 2x + 3 X Step 4: f'(x) = lim f(x + h) - f(x)...
Use the rules to find the derivative f (x) = -3x e^x^5 + 2cos(2x^2 )
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)
1) Your friend was asked to use the limit process to find the derivative of f(x) = x² . His solution was f'(x) = 2x. He was given a zero grade on this question. Explain to your friend how to solve this problem correctly. 2) Complete the following table: Function Derivative f(x) = x f'(x) = f(x) = sin(x) f'(x) = f(x) = cos(x) f'(x) = f(x) = tan(x) f'(x) = f(x) = cot(x) f'(x) = f(x) = sec(x) f'(x)...
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...
Solve using MATLAB and provide code please 4. The first derivative of a function f(x) at a point x = xo can be approximated with the four-point central difference formula: dx 12h where h is a small number relative to xo. Write a user-defined function function that calculates the derivative of a math function fx) by using the four-point central difference formula. For the user-defined function name, use dfax-FoPrder(Fun, x0), where Fun is a name for the function that is...
Find the derivative of the following functions: Inx 22 C. a. F(x) = In (3x) b. Y=: Y=52x-1 d. Y= log1032 e. Y=In(x2-2)2/3 f. Y= In g. Y= log2 (2x - 1) h. Y= 8** e 1+e+
f(x +h)-f(x) 2. Calculate the derivative of the function using Then find the value of the derivative as specified. f'(x) = lim ho 8 f(x) = *+27 (0)
3. Below you are given the graphs of the functions f and g. Suppose that: u(x)-f(g(x)), v(x)-f(x) g(x), and w(x)-g(f(x)) Use the graphs to find the indicated derivatives. If the indicated derivative does not exist, write "D.N.E." in the space provided. Be sure to include work that shows how you arrived at your answer. 20 a) u'3) b) v-4) c) wl) 3. Below you are given the graphs of the functions f and g. Suppose that: u(x)-f(g(x)), v(x)-f(x) g(x), and...