Answer is in the attachment below. Use the "product rule".
y = 3 t an x t an x = cos x s in x ⇒ y = cos x 3 s in x y ′ = ( cos x ) 2 ( 3 s in x ) ′ cos x − 3 s in x ( cos x ) ′ = co s 2 x 3 cos x cos x − 3 s in x ( − s in x ) = co s 2 x 3 co s 2 x + 3 s i n 2 x = co s 2 x 3 ( co s 2 x + s i n 2 x ) = co s 2 x 3 ( 1 ) = co s 2 x 3 − − − − − − − − − − − − − − − − − − − s i n 2 x + co s 2 x = 1
The derivative of y = 3 tan ( x ) is d x d y = 3 sec 2 ( x ) . This result is obtained by applying the derivative of the tangent function and factoring out the constant. The procedure involves recognizing the relevant derivative rules for trigonometric functions.
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Jawab:3. 15%4. 70%5. 25%Penjelasan dengan langkah-langkah:3. (15/100) x 100 = 15% (Segala yang dibagi 100 maka hasilnya persenan) 4. 7/10 x 10/10 = 70/100 = 70%5. 5/20 x 5/5 = 25/100 = 25%