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This text provides easy and harder examples of differentiation, explaining step-by-step solutions for clarity and understanding. Follow along with the given examples to enhance your calculus skills.
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Differentiation BY: Yike Hong Candice Tong David Kim
(cx + a) m n dy dx m-1 n-1 n = cnmx (x + a)
Easy Examples 2 In this example, c = 1n = 1m = 2a = 2 Therefore, cnmx = 1x1x2 x = 2x = 2(x +a) = (x +2) = (x + 2) So, the answer of dy by dx will be 2(x + 2) (x + 2) dy dx = 2(x+2) 1-1 n-1 0 2-1 n m-1 1 (cx + a) m n dy dx n-1 n m-1 = cnmx (x + a)
Harder Examples 3 In this example, c = 5n = 1m = 3a = 2 Therefore, cnmx = 5x1x3 x = 15x(x +a) = (5x +2) = (5x + 2) So, the answer of dy by dx will be 15(5x + 2) (5x + 2) 2 dy dx = 15 (5x + 2) 3-2 n m-1 1 (cx + a) m n 2 dy dx n-1 n m-1 = cnmx (x + a)
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