Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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- Can you please solve a, b, c and d.arrow_forwardGiven that f ( x ) = 4 x − 7 and g ( x ) = 2 x^2 x + 6 , calculate (a) f ( g ( − 3 ) ) = (d) g ( f ( 3 ) ) =arrow_forwardFind f'(x) and simplify. f(x) = 2x5 In x Which of the following shows the correct application of the product rule? OA. (2x5) (10x) + (In x) OB. (2x²) [:) + (1x) (10x¹) X ○ C. O D. (1) (2x³) (1) - (Inx) (10x¹) X (+) (10x¹) Xarrow_forward
- If 81 + ƒ(x) + 5x²(ƒ(x))³ = 0 and ƒ(−4) = −1, find ƒ'(–4). ƒ'(−4) = = 20arrow_forwardFind 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) =arrow_forwarddetermine f '(x). Express answer in simplified factored form, where possible.arrow_forward
- Find f'(x) and simplify. f(x) = (0.3x + 7)(0.7x-6) Which of the following shows the correct application of the product rule? O A. (0.3x+7)(0.7) + (0.7x − 6)(0.3) B. (0.3x + 7)(0.7) - (0.7x-6)(0.3) O c. (0.3x+7)(0.3) + (0.7x-6)(0.7) O D. (0.7)(0.3) f'(x) =arrow_forwardDifferentiate.arrow_forwardLet f(x) = x² + 3x 2x + 5 Then we have that f'(x) = (2x+5) (A) — (x² + 3x) (B) (C) ² Which expression goes in spot A? Which expression goes in spot B? Which expression goes in spot C? HINT: Don't enter any spaces.arrow_forward
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