LI Write the composite function in the form f(g(x)). [Identify the inner function v = g(x)...
Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u).] (96%), f(u) = ( 0,- 1 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 -...
Let f(x)=(x? + 1)^(2x – 1) is a polynomial function of fifth degree. Its second derivative is f"(x) = 4(x2 + 1)(2x – 1)+8x²(2x – 1)+ 16x(x? + 1) and third derivative is f"(x) = 24x(2x – 1) +24(x + 1) +48x2. True False dy Given the equation x3 + 3 xy + y2 = 4. We find dx 2 x' + y by implicit differentiation and is to be y' = x + y2 True False Let f(x)= x...
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 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)...
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....
Find the derivative of the function. f(x) = arccsc 8x -1 f'(x) = x\V 16x2 – 1 10 ny Find an equation of the tangent line to the graph of the function at the given point. y = - arccos y 37 2 xt. = - arccOS X
For the derivative of f(x) = 4e2r3 Identify the inner and outer functions of the composition, then take the derivative of each. HTML