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Question Number 158049 by zainaltanjung last updated on 30/Oct/21

Find derivative of this function

1) . f (x) = x . \sin x

2) . f (x) = e^{5 x} . \log_{2} (3 x)

3) . f (x) = 3^{3 x} . (2 x - 1)

4) . f (x) = \frac{{3 x}^{2} - 2}{4 x + 1}

Answered by MathsFan last updated on 30/Oct/21

1 . f^{'} (x) = x ∙ \frac{dy}{dx} sinx + sinx \frac{dy}{dx} x

f^{'} (x) = xcosx + sinx

Answered by MathsFan last updated on 30/Oct/21

4 . f^{'} (x) = \frac{(4 x + 1) (6 x) - ({3 x}^{2} - 2) (4)}{{(4 x + 1)}^{2}}

f^{'} (x) = \frac{6 x - {6 x}^{2} + 8}{{(4 x + 1)}^{2}}

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