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

The derivative of y=(3x^2+5x)^2 is 2(3x^2+5x)(6x+5)

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

The first derivative of y=(3x^2+5x)^2 is 2(3x^2+5x)(6x+5)

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derivative of

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

2 (3 x^{2} + 5 x) (6 x + 5)

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (3 x^{2} + 5 x) = 6 x + 5

= 2 (3 x^{2} + 5 x) (6 x + 5)

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

r = - 3

(- 6, \frac{3 π}{4})

(a + 5, b - 2), (3, - b + 5)

(5.3) (- 7.2)

What is the derivative of y=(3x^2+5x)^2 ?
The derivative of y=(3x^2+5x)^2 is 2(3x^2+5x)(6x+5)
What is the first derivative of y=(3x^2+5x)^2 ?
The first derivative of y=(3x^2+5x)^2 is 2(3x^2+5x)(6x+5)