Chain Rule SG - Chain 3 y = sin(x 2 5 y’ = €sin(u ●...

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Chain Rule SG (€ = derivative) Chain 1: f(x) = u n f(x) = n(u) n-1 €u’ DON’T FORGET TO PUT ONE LESS THAN THE POWER YOU MOVED TO THE FRONT OUTSIDE THE PARANTEHSIS MOVE ANY NEGATIVES AND MONOMIALS TO THE FRONT Chain 2: Product o a’b + b’a Quotient o a’b – b’a b 2 DON’T FORGET TO MULTIPLY BY B AND A; THE DERIVATIVES WILL PROBABLY HAVE MANY TERMS LOOK TO CANCEL OUT FROM THE DENOMINATOR TO ELIMINATE A TERM
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Unformatted text preview: Chain 3: y = sin (x 2 + 5) y’ = €sin (u) ● u’ y’ = cos (x 2 + 5) (2x) = 2x cos (x 2 + 5) Chain 4: y = trigfxn x (u) y’ = x[trigfxn(u)] x-1 ● €trigfxn(u) ● u’ y = tan 5 x = tan (x) 5 y’ = 5tan(x) 4 ● sec 2 (x) ● 1 y = 9 su = = 9 (12x —1/3 ) 3 √12x csc 2 x ● sin x = csc x sec 2 x ● cos x = sec x...
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Chain Rule SG - Chain 3 y = sin(x 2 5 y’ = €sin(u ●...

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