5. Производная (основные формулы) 1. y=4x^5-3x^2 + 7 2. y= lnx- 2cos x + 5 3. y = 2^x + 6x^3-4

5. Производная:

1. \( y = 4x^5 - 3x^2 + 7 \)
   \( y' = (4x^5)' - (3x^2)' + (7)' \)
   \( y' = 4 \cdot 5x^{5-1} - 3 \cdot 2x^{2-1} + 0 \)
   \( y' = 20x^4 - 6x \)
2. \( y = \ln x - 2\cos x + 5 \)
   \( y' = (\ln x)' - (2\cos x)' + (5)' \)
   \( y' = \frac{1}{x} - 2(-\sin x) + 0 \)
   \( y' = \frac{1}{x} + 2\sin x \)
3. \( y = 2^x + 6x^3 - 4 \)
   \( y' = (2^x)' + (6x^3)' - (4)' \)
   \( y' = 2^x \ln 2 + 6 \cdot 3x^{3-1} - 0 \)
   \( y' = 2^x \ln 2 + 18x^2 \)

Ответ: 1. \( y' = 20x^4 - 6x \); 2. \( y' = \frac{1}{x} + 2\sin x \); 3. \( y' = 2^x \ln 2 + 18x^2 \).