as a function of x. Nrite the function below in the form y = f(u) and...
QUESTION 8 Write the function in the form y = f(u) and u = g(x). Then find dy/dx as a function of x. 6 y = 8 X O y = 542 10x16 6 u +878 - u; u = x8, causing O y = u8; u = 5x2.-x -f10x -1) Oy= u®; u = 5x2.6 x = 0(532-60) y = 48: u = 5x2.5 - X 5x2 x dx QUESTION 9 Given y = f(u) and u = g(x),...
LI Write the composite function in the form f(g(x)). [Identify the inner function v = g(x) and the outer function y = f(u).] = V1 + 8x (g(x), f(u)) = Find the derivative dy/dx. dx X
ame f(x) If f(x) is a differentiable function, find an expression for the derivative of y= X Choose the correct answer below dy 7f(x)-xf'(x) O A. dx 8 X xf (x) 7f(x) dy O B. dx 8 X dy xf(x) 7f(x) O C. dx 8 X 7f'(x) xf(x) dy O D. dx 8 X ame f(x) If f(x) is a differentiable function, find an expression for the derivative of y= X Choose the correct answer below dy 7f(x)-xf'(x) O A....
dy For the following composite function, find an inner function u = g(x) and an outer function y=f(u) such that y=f(g(x)). Then calculate dx y=tan (2x) Calculate the derivative of the following function. y = (5x - 19) dy Carry out the following steps for the given curve. dy a. Use implicit differentiation to find dx b. Find the slope of the curve at the given point. x +y = 337;( - 4,3) a. Use implicit differentiation to find b....
For the function G(x) = 5 – x?, find G( – 3), G(u), and G(u?). G(-3) = (Simplify your answer.) G(u) = (Simplify your answer. Do not factor.) G(u?) = (Simplify your answer. Do not factor.) State (a) the degree and (b) the leading coefficient of the given polynomial function. F(x) = 3x3 +3x² - 4 (a) The degree of the polynomial function is (b) The leading coefficient of the polynomial function is . Find the domain of the function....
Use the given graphs of x= f(t) and y = g(t) to sketch the corresponding parametric curve in the xy-plane. AX g Choose the correct sketch below. OA OB. OC. OD. 3-
Given the function 1 f(x,y) = answer the following questions. 36 - 16x2 - 16y2 a. Find the function's domain. b. Find the function's range. c. Describe the function's level curves. d. Find the boundary of the function's domain. e. Determine if the domain is an open region, a closed region, both, or neither. f. Decide if the domain is bounded or unbounded. a. Choose the correct domain. OA. 9 The set of all points in the xy-plane that satisfy...
Find the area of the following region Sketch the bounding curves and the mopon in question The region in the fint quadrant bounded by y2 and y-2sin on the interval Choose the correct graph below OA OB OC OD Set up to Wegral hat will give the sea of the region. Choose the corect answer below OA 12 siny-2) dy OB sin-21 oc. Jaz 22 - 2 single OD 2 Click to set your ar Find the area of the...
Given y=f(u) and u=g(x), find dy/dx y=u^2, u=4x-5
Select the correct answer. What is the inverse of function f? 3 – I 7 OA. -1(x) = 3 – 7x OB. +(x) = 3 - OC -1(1) = ? OD. 7-1(x) = 74 – 3 7+ I 3 3 Select the correct answer. Find the inverse of function f. f(x) = 12 +7 IN A f(x) = 2x + 3 OB. F'(x) = 2x - 7 OC. (n) = 2x – 14 OD. F'(x) = r - 7 Type...