Question

find the second order derivative of y = sin x with respect to
$z = {e}^{x}$

Answer 1

heya @user
herw is your answer in the given attachment


hope helped !!

Answer 2

hiii!!

It means the slope is the same as the function value (they-value) for all points on the graph.Example:Let's take the example whenx= 2.At this point, they-value ise2≈ 7.39.Since the derivative ofexisex, then the slope of the tangent line atx= 2is alsoe2≈ 7.39.We can see that it is true on the graph:12345-1-21234567xy(2, 7.39)slope= 7.39y=exy=exThe graph ofy=exy=exshowing the tangent atx=2.x=2.Let's now see if it is true at some other values ofx.123-1-2-31234567xy(−2, 0.135)slope = 0.135Whenx=−2,x=−2,y=slope≈0.135y=slope≈0.135.12345-1-212345678xy(0, 1)slope = 1Whenx=0,x=0,y=slope=1y=slope=1.2468101214162468101214161820xy(3, 20.1)slope = 20.1Whenx=3,x=3,y=slope≈20.1y=slope≈20.1.We can see that in each case, theslopeof the curvey=exy=exis the same as thefunction valueat that point.... .

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