What is the derivative of (2x+3y^{10}) ?

The derivative of (2x+3y^{10}) is 10(2x+3y)^9(2+3(dy)/(dx))

What is the first derivative of (2x+3y^{10}) ?

The first derivative of (2x+3y^{10}) is 10(2x+3y)^9(2+3(dy)/(dx))

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\frac{d}{d x} ((2 x + 3 y)^{10})

10 (2 x + 3 y)^{9} (2 + 3 \frac{d y}{d x})

Solution steps

\frac{d}{d x} ((2 x + 3 y)^{10})

Apply the chain rule:

10 (2 x + 3 y)^{9} \frac{d}{d x} (2 x + 3 y)

= 10 (2 x + 3 y)^{9} \frac{d}{d x} (2 x + 3 y)

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

= 10 (2 x + 3 y)^{9} (2 + 3 \frac{d y}{d x})

\int 2 cos^{3} (6 x) d x

\int \frac{1}{z ^{3} z ^{2} - 49} d z

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

\int \frac{1}{- y ^{2} + y + 20} d y

x \to 2 lim (\frac{- 1}{0})

What is the derivative of (2x+3y^{10}) ?
The derivative of (2x+3y^{10}) is 10(2x+3y)^9(2+3(dy)/(dx))
What is the first derivative of (2x+3y^{10}) ?
The first derivative of (2x+3y^{10}) is 10(2x+3y)^9(2+3(dy)/(dx))