What is the derivative of (4x^3+5x^2(9x)) ?

The derivative of (4x^3+5x^2(9x)) is 9(16x^3+15x^2)

What is the first derivative of (4x^3+5x^2(9x)) ?

The first derivative of (4x^3+5x^2(9x)) is 9(16x^3+15x^2)

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\frac{d}{d x} ((4 x^{3} + 5 x^{2}) (9 x))

9 (16 x^{3} + 15 x^{2})

Solution steps

\frac{d}{d x} ((4 x^{3} + 5 x^{2}) (9 x))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 9 \frac{d}{d x} ((4 x^{3} + 5 x^{2}) x)

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = 4 x^{3} + 5 x^{2}, g = x

= 9 (\frac{d}{d x} (4 x^{3} + 5 x^{2}) x + \frac{d x}{d x} (4 x^{3} + 5 x^{2}))

\frac{d}{d x} (4 x^{3} + 5 x^{2}) = 12 x^{2} + 10 x

\frac{d x}{d x} = 1

= 9 ((12 x^{2} + 10 x) x + 1 \cdot (4 x^{3} + 5 x^{2}))

Simplify

9 ((12 x^{2} + 10 x) x + 1 \cdot (4 x^{3} + 5 x^{2})) : 9 (16 x^{3} + 15 x^{2})

= 9 (16 x^{3} + 15 x^{2})

y = 2 x^{2} - 3 x, (2, 2)

x \to 2 - lim (\frac{x + 2}{x - 2})

y = x - 2

x \to 1 lim (x^{2} + e^{x})

\frac{\partial}{\partial x} (5 x y arcsin (yz))

What is the derivative of (4x^3+5x^2(9x)) ?
The derivative of (4x^3+5x^2(9x)) is 9(16x^3+15x^2)
What is the first derivative of (4x^3+5x^2(9x)) ?
The first derivative of (4x^3+5x^2(9x)) is 9(16x^3+15x^2)