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

The derivative of (x^2+3x)^5 is 5(x^2+3x)^4(2x+3)

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

The first derivative of (x^2+3x)^5 is 5(x^2+3x)^4(2x+3)

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derivative of

(x^{2} + 3 x)^{5}

5 (x^{2} + 3 x)^{4} (2 x + 3)

Solution steps

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

Apply the chain rule:

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

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

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

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

\frac{d}{d x} (\frac{( 4 x - y )}{( 2 x + y )})

sin (x^{\frac{1}{2}})

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

\frac{- x}{( x - 1 )}

\frac{d}{d x} (cos^{2} (y) - sin^{2} (x))

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