What is the derivative of y=(4x^2+5x)^2 ?

The derivative of y=(4x^2+5x)^2 is 2(4x^2+5x)(8x+5)

What is the first derivative of y=(4x^2+5x)^2 ?

The first derivative of y=(4x^2+5x)^2 is 2(4x^2+5x)(8x+5)

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derivative of

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

2 (4 x^{2} + 5 x) (8 x + 5)

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (4 x^{2} + 5 x) = 8 x + 5

= 2 (4 x^{2} + 5 x) (8 x + 5)

\int 2 t^{2} e^{- s t} d t

f (x) = 2 x^{3} - 4 x + 6, at x = 1

\int_{2}^{7} g (x) d x

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

\int e^{- a t} d t

What is the derivative of y=(4x^2+5x)^2 ?
The derivative of y=(4x^2+5x)^2 is 2(4x^2+5x)(8x+5)
What is the first derivative of y=(4x^2+5x)^2 ?
The first derivative of y=(4x^2+5x)^2 is 2(4x^2+5x)(8x+5)