What is the derivative of (2x+1^4) ?

The derivative of (2x+1^4) is 8(2x+1)^3

What is the first derivative of (2x+1^4) ?

The first derivative of (2x+1^4) is 8(2x+1)^3

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\frac{d}{d x} ((2 x + 1)^{4})

8 (2 x + 1)^{3}

Solution steps

\frac{d}{d x} ((2 x + 1)^{4})

Apply the chain rule:

4 (2 x + 1)^{3} \frac{d}{d x} (2 x + 1)

= 4 (2 x + 1)^{3} \frac{d}{d x} (2 x + 1)

\frac{d}{d x} (2 x + 1) = 2

= 4 (2 x + 1)^{3} \cdot 2

Simplify

= 8 (2 x + 1)^{3}

y = 3 - x, y = \frac{x ^{2}}{4}, x = 2, x = 1

3 y^{^{''}} + 2 y = 5 e^{2 x} + 2 x^{3}

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

75 (1 - \frac{8}{x})

x y y^{^{'}} - y^{2} = y^{2} \frac{y}{x}

What is the derivative of (2x+1^4) ?
The derivative of (2x+1^4) is 8(2x+1)^3
What is the first derivative of (2x+1^4) ?
The first derivative of (2x+1^4) is 8(2x+1)^3