What is the derivative of f(x)=(1+x)^5 ?

The derivative of f(x)=(1+x)^5 is 5(1+x)^4

What is the first derivative of f(x)=(1+x)^5 ?

The first derivative of f(x)=(1+x)^5 is 5(1+x)^4

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derivative of

f (x) = (1 + x)^{5}

5 (1 + x)^{4}

Solution steps

\frac{d}{d x} ((1 + x)^{5})

Apply the chain rule:

5 (1 + x)^{4} \frac{d}{d x} (1 + x)

= 5 (1 + x)^{4} \frac{d}{d x} (1 + x)

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

= 5 (1 + x)^{4} \cdot 1

Simplify

= 5 (1 + x)^{4}

g (x) = (1 - 3 x)

\frac{d}{d x} (8 - 3 x)

\frac{\partial}{\partial x} (x^{4} + y^{4} - 32 x + 4 y + 4)

\frac{d}{d x} (f (x) (x g (x)))

y^{^{'}} + \frac{1}{t} y = 3 cos (2 t)

What is the derivative of f(x)=(1+x)^5 ?
The derivative of f(x)=(1+x)^5 is 5(1+x)^4
What is the first derivative of f(x)=(1+x)^5 ?
The first derivative of f(x)=(1+x)^5 is 5(1+x)^4