Question

Find the Derivative of (ax^3-b)^3
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Answer 1

Step-by-step explanation:

Let f(x)=(ax2+b)2

⇒f(x)=a2x4+2abx2+b2

∴f′(x)=dxd(a2x4+2abx2)=a2dxd(x4)+2abdxd(x2)+dxd(b2)

=a2(4x3)+2ab(2x)+b2(0)

=4a2x3+4abx=4ax(ax2+b)