If f(x)=x^2 sin(2x), then dy/dx = ?

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asked Apr 19, 2024 49.3k views

1 Answer

Ramit · Answer 1 · 2024-04-24T16:52:25+0000

Given: f(x)=x^2 sin(2x)

Find: f’(x)

Using the product rule…

f’(x)=[(2x)(sin(2x))]+[(x^2)(cos(2x)•2)]

=> 2xsin(2x)+2x^2cos(2x)

Thus, f’(x)=2x^2cos(2x)+2xsin(2x)

If f(x)=x^2 sin(2x), then dy/dx = ?

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If f(x)=x^2 sin(2x), then dy/dx = ?