(See) If a, is a natural number, prove (by using induction) that y=[g(x)]^a <=> y^prime=a[g(x)]^a-1
Question: If \(a\), is a natural number, prove (by using induction) that
\[y=[g(x)]^{a} \Rightarrow y^{\prime}=a[g(x)]^{a-1} g^{\prime}(x)\]
Deliverable: Word Document 
(All Steps) (a) Solve the equation 12 x^3-4 x^2-5 x+2=0 given
![[Solution] Determine the derivatives of the following](/images/solutions/MC-solution-library-52721.jpg "[Solution] Determine the derivatives of the following functions:")
[Solution] Determine the derivatives of the following functions:
![[Solution Library] (a) Given f(x)=(7 x^2)/((x-1)), determine](/images/solutions/MC-solution-library-52722.jpg "[Solution Library] (a) Given f(x)=(7 x^2)/((x-1)), determine f^prime")
[Solution Library] (a) Given f(x)=(7 x^2)/((x-1)), determine f^prime
![[See Solution] Find all open intervals on](/images/solutions/MC-solution-library-52723.jpg "[See Solution] Find all open intervals on which the function f(x)=(x)/(x^2+x-2)")
[See Solution] Find all open intervals on which the function f(x)=(x)/(x^2+x-2)
(See Solution) Find all inflection points: f(x)=x^3-12
Math Cracks: Cracking Math with Easy Explanations - MathCracker.com