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

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

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

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

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

15 (3 x + 2)^{4}

Solution steps

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

Apply the chain rule:

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

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

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

= 5 (3 x + 2)^{4} \cdot 3

Simplify

= 15 (3 x + 2)^{4}

f (x) = 8 π x^{2}

\frac{\partial ^{2}}{\partial y ^{2}} (\frac{x y}{x - y})

x \to 4 lim (5)

\frac{d}{d x} (9 cos (3 x))

\frac{d}{d x} (4 a x)

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