подробно найдите производные:
1)f(x)=3x⁴*(6x-5)
2)f(x)=(5x-1)sin[tex] \frac{x}{2} [/tex]
3)f(x)=(5x-1)²(6x+2)
1)f(x)=3x⁴*(6x-5)
2)f(x)=(5x-1)sin[tex] \frac{x}{2} [/tex]
3)f(x)=(5x-1)²(6x+2)
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Verified answer
1)f(x)=3x⁴*(6x-5)f ' (x) = 12x³*(6x-5)+3x⁴ *6 = 12x³*(6x-5)+18x⁴
2)f(x)=(5x-1)sin x/2
f '(x)=5 *sin x/2 -(5x-1)cos x/2 * 1/2
3)f(x)=(5x-1)²(6x+2)
f '(x) = 2*5*(5x-1) *(6x+2) +6* (5x-1)² =10*(5x-1) *(6x+2)+6* (5x-1)²
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