What is the derivative of y=ln(5+2x+x^3) ?

The derivative of y=ln(5+2x+x^3) is (3x^2+2)/(5+2x+x^3)

What is the first derivative of y=ln(5+2x+x^3) ?

The first derivative of y=ln(5+2x+x^3) is (3x^2+2)/(5+2x+x^3)

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derivative of

y = ln (5 + 2 x + x^{3})

\frac{3 x ^{2} + 2}{5 + 2 x + x ^{3}}

Solution steps

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

Apply the chain rule:

\frac{1}{5 + 2 x + x ^{3}} \frac{d}{d x} (5 + 2 x + x^{3})

= \frac{1}{5 + 2 x + x ^{3}} \frac{d}{d x} (5 + 2 x + x^{3})

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

= \frac{1}{5 + 2 x + x ^{3}} (3 x^{2} + 2)

Simplify

\frac{1}{5 + 2 x + x ^{3}} (3 x^{2} + 2) : \frac{3 x ^{2} + 2}{5 + 2 x + x ^{3}}

= \frac{3 x ^{2} + 2}{5 + 2 x + x ^{3}}

\int \frac{1}{cos ^{2} ( a y )} d y

\frac{\partial}{\partial x} (8 x^{2} + y^{2} - 9 y)

f (x) = x^{2} + 3 x + 1, at x = 4

x \to 0 lim (ln (0))

\int x^{3} (3 + x^{4})^{5} d x

What is the derivative of y=ln(5+2x+x^3) ?
The derivative of y=ln(5+2x+x^3) is (3x^2+2)/(5+2x+x^3)
What is the first derivative of y=ln(5+2x+x^3) ?
The first derivative of y=ln(5+2x+x^3) is (3x^2+2)/(5+2x+x^3)