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Popular >

derivative of (2x-7)/(5x+4)+x^3

Solution

derivative of

\frac{2 x - 7}{5 x + 4} + x^{3}

Solution

\frac{43}{( 5 x + 4 ) ^{2}} + 3 x^{2}

Solution steps

\frac{d}{d x} (\frac{2 x - 7}{5 x + 4} + x^{3})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (\frac{2 x - 7}{5 x + 4}) + \frac{d}{d x} (x^{3})

\frac{d}{d x} (\frac{2 x - 7}{5 x + 4}) = \frac{43}{( 5 x + 4 ) ^{2}}

\frac{d}{d x} (x^{3}) = 3 x^{2}

= \frac{43}{( 5 x + 4 ) ^{2}} + 3 x^{2}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of (2x-7)/(5x+4)+x^3 ?
The derivative of (2x-7)/(5x+4)+x^3 is (43)/((5x+4)^2)+3x^2
What is the first derivative of (2x-7)/(5x+4)+x^3 ?
The first derivative of (2x-7)/(5x+4)+x^3 is (43)/((5x+4)^2)+3x^2