Evaluate the derivative of the given function for the given value of x using the product...
D1.1. Evaluate f'(a) by using the definition of derivative of a function f(x) = 4x2 + 3x – 5 at a = -2. [4 Marks] D1.2. (a) Find the derivative of y = 4 sin( V1 + Vx). (b) If y = sin(cos(tan(x2 + 3x – 2))), then find the first derivative. [3 Marks] D1.3. Using logarithmic differentiation, find the derivative of y = (sec x)+”.
1. (-/1 Points] DETAILS BERRAPCALCBR7 2.4.005. Find the derivative of the function by using the Product Rule. Simplify your answer. f(x) = x (x + 1) F"(x) = Submit Answer 2. [-/1 Points] DETAILS BERRAPCALCBR7 2.4.017. Find the derivative of the function by using the Product Rule. Simplify your answer. F(X) = (7x + 4)(1 = x) f'(x) = 3. [-/1 Points) DETAILS BERRAPCALCBR7 2.4.035. Find the derivative of the function by using the Quotient Rule. Simplify your answer. f(x)...
(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
Please provide all steps:
a) Use the Product Rule to find the derivative of the given function. b) Find the derivative by multiplying the expressions first. y= (57x + 3) x2 a) Use the Product Rule to find the derivative of the function. Select the correct answer below and fill in the answer box(es) to complete your choice. O A. The derivative is (57x + 3) x2 + . OB. The derivative is ( x + ( vx. O C....
Using the Chain rule find the derivative of the function: 1. y=(x?+2x2,6
Q2 a) Find the second derivative of the following function y = tan x + sin-1x b) Using chain rule find any as function of y for the following function y = Vē – 1, x = t2 In x c) Using L'Hopital's rule find the limits as x approach 1 of the function d) find for the function y = ln xy + log10 (x + 3) + 2*+sinh-1x dx
Find the equation of the tangent line to the curve when x has the given value. 7) f(x) = 4,x=5 8) f(x) = }x=3 11) Solve the problem. 11) The profit in dollars from the sale of thousand compact disc players is P(x) = x3 - 5x2 + 3x + 8. Find the marginal profit when the value of x is 6. 12) 12) Ir the price of a product is given by Px) E 1200, where x represents the...
Evaluate the piecewise-defined function for the given values. f(x) = 4x for x 20 - 4x for x < 0 Find f(1), f(2), f(-1), and f(-2). f(1) f(2) f(-1) = f(-2) =
Using the definition, calculate the derivative of the function. Then find the values of the derivative as specified. f(x) = 3 + x2: f'(- 9), F 'O), f (9) Using the definition, calculate the derivative of the function. Then find the values of the derivative as specified. 4 96) = 3. g'(-2), g'(4), g(6) o't)= dx if y = 7x3 dy || s={3 - 4+, t= -6 s'(t)= 0 ne indig y=f(x)= 3 + 14-x, (x,y)= (0,5) The derivative of...
Find the derivative of the function. y sin-1(5x+ 1) Part 1 of 3 The function y - sin-1(5x + 1) is a composition, and so we must use the Chain Rule, given below, to find the derivative dx[f(g(x))) = f '(g(x))g'(x) For the given function sin 1(5x+ 1), the "inside" function is Sx + and the foutside" function is arcsin (a) Part 2 of 3 Recall that the derivative of y sin-1(x) is 1-(5x - 1)2
Find the derivative of...