Calculus :

I only need the first part for 1 :

Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u).] y=3\\/1+5x (900. mm = ( Find the derivative dy/dx. %= %(1+5x)( %) y Need Help? _' 12. [-/0.06 Points] DETAILS SESSCALC2 2.5.055. A table of values for f, g, f ', and g' is given. X f(x) g(x) f '(x) g' (x ) 3 2 4 6 N W N (a) If h(x) = f(g(x)), find h'(1). h'(1) = (b) If H(x) = g(f(x)), find H'(1). H'(1) = Need Help? Read It Watch It 13. [-/0.08 Points] DETAILS SESSCALC2 2.5.054. If h(x) = V5 + 4f(x), where f(1) = 5 and f '(1) = 3, find h'(1). h'( 1) = Need Help? Read It6. [0/0.08 Points] DETAILS PREVIOUS ANSWERS SESSCALC2 2.5.026. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the derivative of the function. G(y) = (y - 1)3 ( ) 2 + 2y) 4 3(32 + 23) (3 -1)2 -8(3-1) 3(3+1) G'(y ) = X (32 + 23)5 Need Help? Read It 7. [0/0.08 Points ] DETAILS PREVIOUS ANSWERS SESSCALC2 2.5.029. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the derivative of the function. y = sin(tan 4x) y' = 4 cos(tan 4x) . sec-4x X Enhanced Feedback :Please try again using the Chain Rule several times. First identify the outer function. Find the derivative of the outer function [evaluated at the inner function] and then multiply by the derivative of the inner function. In order to find the derivative of the :inner function, let the previous inner function be the new outer function, identify the new inner function, and continue the same method. In other words, -f(g(h(x))) = f(g(h(x))). g'(h(x))- h'(x). Identify f, g, and h. Need Help? Read It Watch It Viewing Saved Work Revert to Last Response Submit Answer 8. [-/0.08 Points] DETAILS SESSCALC2 2.5.032. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the derivative of the function. y = x sin- y' ( x ) = Need Help? Read ItFind the derivative of the function. y = cot2(cos 6) Enhanced Feedback EPlease try again using the Chain Rule several times. First identify the outer function. Find the de Einner function, let the previous inner function be the new outer function, identify the new innerf Need Help? Find the first and second derivatives of the function. y = sin(x2) Need Help? _ If F(X) = f(g(x)), where 1) = 9, r'(1) = 4, r'(0) = 1, 9(0) = 1, and g'(0) = 3, find F '(o). F '(0) = Need Help? _'_