Find R' (0) , where R ( x ) = x − 3 x 3 + 5 x 5 1 + 3 x 3 + 6 x 6 + 9 x 9 Hint: Instead of finding R' ( x ) first, let f ( x ) be the numerator and g ( x ) the denominator of R ( x ) and compute R' (0) from f (0) , f' (0), g (0) , and g' (0) .
Find R' (0) , where R ( x ) = x − 3 x 3 + 5 x 5 1 + 3 x 3 + 6 x 6 + 9 x 9 Hint: Instead of finding R' ( x ) first, let f ( x ) be the numerator and g ( x ) the denominator of R ( x ) and compute R' (0) from f (0) , f' (0), g (0) , and g' (0) .
Solution Summary: The author explains the function R(x) = x-3,x,3+5,x+3,x&6+x
Find f'(x) and simplify.
f(x) = 8x+ (x³ - 9)
Which of the following shows the correct application of the product rule?
OA. (8x) (3x²) - (x³ - 9) (32x³)
3
OB. (8x) (3x²) + (x³ - 9) (32x³)
3
OC. (8x¹) (32x³) + (x³ − 9) (3x²)
OD. (3x²) (32x³)
Find f'(x) and simplify.
f(x) = 3x4 Inx
Which of the following shows the correct application of the product rule?
1
O
○ A. (3x¹) (--(Inx) (12x³)
O B. (3x4) (12x³) + (In x)
x (17)
X
O.C. (2x²) =) + (1x) (12x²)
( +(Inx)
OD. (7) (12x³)
f'(x) =
Find f'(x) and simplify.
f(x) = 5x4 Inx
Which of the following shows the correct application of the product rule?
O A. (5x¹) (-)-(Inx) (20x²³)
(1)
X
B. (5x4) (20x³) + (In x)
O c. (5x²) (+) + (Inx) (20x³)
X
O D.
f'(x) =
() (201¹)
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