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

The derivative of (3x+5^3-5x) is 81x^2+270x+220

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

The first derivative of (3x+5^3-5x) is 81x^2+270x+220

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

81 x^{2} + 270 x + 220

Solution steps

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

Simplify

(3 x + 5)^{3} - 5 x : 27 x^{3} + 135 x^{2} + 220 x + 125

= \frac{d}{d x} (27 x^{3} + 135 x^{2} + 220 x + 125)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (27 x^{3}) + \frac{d}{d x} (135 x^{2}) + \frac{d}{d x} (220 x) + \frac{d}{d x} (125)

\frac{d}{d x} (27 x^{3}) = 81 x^{2}

\frac{d}{d x} (135 x^{2}) = 270 x

\frac{d}{d x} (220 x) = 220

\frac{d}{d x} (125) = 0

= 81 x^{2} + 270 x + 220 + 0

Simplify

= 81 x^{2} + 270 x + 220

\frac{\partial}{\partial x} (x e^{(\frac{y}{x})})

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

x \to 2 lim (- 5)

\int - cos (2 t) d t

\int \frac{1}{( 1 - x ) ( 2 - x )} d x

What is the derivative of (3x+5^3-5x) ?
The derivative of (3x+5^3-5x) is 81x^2+270x+220
What is the first derivative of (3x+5^3-5x) ?
The first derivative of (3x+5^3-5x) is 81x^2+270x+220