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Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and...
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
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....
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),...
as a function of x. Nrite the function below in the form y = f(u) and u = g(x). Then find dy dx y = √5x² - 6x +5 Write the function in the form y=f(u) and u = g(x). Choose the correct answer below. OA. y = Vu and u = 5x2 - 6x + 5 OB. y=u and u =5x2 - 5x+5 OC. y = 5u? - 5u +5 and u = x OD. y = 5u2 -...
For each function, identify an inside and outside function. Write an expression for the derivative. For each function, identify an inside and outside function. Write an expression for the derivative. 2. g(t) = 12 ln(542 +) 1. y = (3x – 20) inside: u(x) = inside: u(t) = outside: v(u) = outside: g(u) = 3. f(x) - 43* - 60 4. g(x) = 4(x2 + 2)10 inside: u(2) = inside: u(x) = outside: f(u) = outside: g(u) = 5. 9(2)...
2. (5 pts) Let f(x)= and x+1 5 g(x)= x-3 Find and simplify the composite function f(g(x)). Write as a single fraction.
Write the function in the form f(x) = (x - k)g(x) + r(x) for the given value of k. f(x) = -3x3 + 8x2 + 13x – 4, k = 2 + V3 x Demonstrate that f(k) = r. 0 (2 + √3) Need Help? Read it Watch It
For the given functions fand g, find the requested composite function value. f(x) = ***, g(x)=x+9; Find (g° 0 – 2). Oo oo D. 25
For the given functions f and g, find the requested composite function. f(x)=x² +8, g(x) = x² +4; Find (fog)(x). O A. x4 +68 O B. x4 + 16x² +68 O c. x4 + 24 O D. x4 + 8x² + 24
For the derivative of f(x) = 4e2r3 Identify the inner and outer functions of the composition, then take the derivative of each. HTML