Category 4: Chain Rule Q: f(x)=(2x+1)^3 A: f^\' (x)=(2)(3) (2x+1)^2=6(2x+1)^2 Ru

Question

Category 4: Chain Rule

                    Q: f(x)=(2x+1)^3
                    A: f^' (x)=(2)(3) (2x+1)^2=6(2x+1)^2
                    Rule Answer


                    Q: f(x)=?(3x-1)
                    A: f^' (x)=(3)(1/2) (3x-1)^(-1/2)=3/(2(3x-1)^(1/2) )=3/(2?(3x-1))
                    Rule Answer


                    Q: f(x)=(3x^2+2x)^5
                    A: f^' (x)=(6x+2)(5) (3x^2+2x)^4=(30x+10?)(3x^2+2x)?^4
                    Rule Answer


                    Q: f(x)=7/(x^2-4)^6
                    A: f^' (x)=7(2x)(-6) (x^2-4)^(-7)=-84x/(x^2-4)^7
                    Rule Answer


                    What rule or process can you develop to solve any problem like those above? How is the power rule used in this process?

Explanation / Answer

assume the function

f(x) = x^n

f'(x) = nx^(n-1)

now take any example u ll get the same answer from the above formulae what i ve used...

like Q: f(x)=7/(x^2-4)^6

A: f^' (x)=7(2x)(-6) (x^2-4)^(-7)=-84x/(x^2-4)^7 from formulae

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.