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

The derivative of (5x+3^4) is 20(5x+3)^3

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

The first derivative of (5x+3^4) is 20(5x+3)^3

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

20 (5 x + 3)^{3}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= 20 (5 x + 3)^{3}

\frac{\partial}{\partial y} (9 e^{x} cos (yz))

(f (x) e^{g (x)})^{'}

\frac{d}{d x} (x - x)

\frac{d ^{3}}{d x ^{3}} (e^{2 x})

x \to 0 lim (\frac{1 - x}{x ^{2}})

What is the derivative of (5x+3^4) ?
The derivative of (5x+3^4) is 20(5x+3)^3
What is the first derivative of (5x+3^4) ?
The first derivative of (5x+3^4) is 20(5x+3)^3