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

The derivative of (3x^2-x+5^3) is 3(3x^2-x+5)^2(6x-1)

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

The first derivative of (3x^2-x+5^3) is 3(3x^2-x+5)^2(6x-1)

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

3 (3 x^{2} - x + 5)^{2} (6 x - 1)

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (3 x^{2} - x + 5) = 6 x - 1

= 3 (3 x^{2} - x + 5)^{2} (6 x - 1)

\int cos^{2} (1) d x

x \to 0 + lim (x e^{\frac{1}{x}})

x^{3} + x^{2} + 5 x - 1

\int 3^{2 x} e^{x} d x

What is the derivative of (3x^2-x+5^3) ?
The derivative of (3x^2-x+5^3) is 3(3x^2-x+5)^2(6x-1)
What is the first derivative of (3x^2-x+5^3) ?
The first derivative of (3x^2-x+5^3) is 3(3x^2-x+5)^2(6x-1)