Find the derivative (5x³+3x-1) ( x-1) with respect to x
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Step-by-step explanation:
Let f(x)=(5x3+3x−1)(x−1)
Thus using product rule of differentiation,
f′(x)=(5x3+3x−1)dxd(x−1)+(x−1)dxd(5x3+3x−1)
=(5x3+3x−1)(1)+(x−1)(5.3x2+3−0)
=(5x3+3x−1)+(x−1)(15x2+3)
=5x3+3x−1+15x3+3x−15x2−3
=20x3−15x2+6x−4
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