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

The derivative of (3x+5^4) is 12(3x+5)^3

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

The first derivative of (3x+5^4) is 12(3x+5)^3

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

12 (3 x + 5)^{3}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= 12 (3 x + 5)^{3}

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

f (x) = (- 4 x^{2} + 9)^{2}

\frac{d}{d x} (\frac{12}{x + 1})

x \to - 3 + lim (x)

\int \frac{x}{1 + 4 x ^{2}} d x

What is the derivative of (3x+5^4) ?
The derivative of (3x+5^4) is 12(3x+5)^3
What is the first derivative of (3x+5^4) ?
The first derivative of (3x+5^4) is 12(3x+5)^3