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DedPeter [7]
3 years ago
5

G(x) = -2? + 3 h(x) = 4x – 1 Find g(8) : h(8)

Mathematics
1 answer:
Sliva [168]3 years ago
3 0

Answer:

Answer to Given the functions: 1 f (x)=4x g(x)= | x-3 1 h(x)= x+6 Evaluate the function (f-g)(x) for x=-6. (4-8)(-6) is DO Undefine...

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100 POINTS <br> Evaluate the derivative of the function number 38
patriot [66]

Answer:

 1/ sqrt(1+ln^2(x))    * 1/(ln^2x +1) * 1/x

Step-by-step explanation:

f(x) = sin (tan^-1 (ln(x)))  

u substitution

       d/du (sin u)  * du /dx

            cos (u) * du/dx

Let u =(tan^-1 (ln(x)))     du/dx =d/dx  (tan^-1 (ln(x)))

v substitution

                                             Let v = ln x                dv/dx = 1/x

                                              d/dv  (tan ^-1 v)  dv/dx

                                                          1/( v^2+1) * dv/dx

                                                        =1/(ln^2x +1) * 1/x

Substituting this back in for  du/dx

cos (tan^-1 (ln(x))  * 1/(ln^2x +1) * 1/x

We know that cos (tan^-1 (a)) = 1/ sqrt(1+a^2)

cos (tan^-1 (ln(x))  * 1/(ln^2x +1) * 1/x

 1/ sqrt(1+ln^2(x))     * 1/(ln^2x +1) * 1/x

                                           

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