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Popular >

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

Solution

derivative of

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

Solution

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (\frac{7 x - 3}{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}

Popular Examples

integral of 8e^{2x}

\int 8 e^{2 x} d x

derivative of (x^2+5^3)

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

d/(dt)(3e^{2t})

\frac{d}{d t} (3 e^{2 t})

integral of cos^2(2aθ)

\int cos^{2} (2 a θ) d θ

(\partial)/(\partial x)(5*(x-4)*y^3)

\frac{\partial}{\partial x} (5 \cdot (x - 4) \cdot y^{3})

Frequently Asked Questions (FAQ)

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