Find 2nd derivative of the following functions
6.) Y= x3 + 4x2 + 5x + 7 7.) Y= x2. Sinx
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Answer:
6) Y=x³+4x²+5x+7
dY/dx = 3x²+8x+5
d²Y/dx² = 6x +8
7) Y = x²sinx
dY/dx = 2x(sinx) + x²(cosx)
d²Y/dx² = 2x(cosx) + 2sinx + x²(-sinx) + 2x(cosx)
= 4x cosx + 2sinx - x²sinx
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