What is the derivative of f(x)= 1/3 (5-x)^4 ?

The derivative of f(x)= 1/3 (5-x)^4 is -(4(5-x)^3)/3

What is the first derivative of f(x)= 1/3 (5-x)^4 ?

The first derivative of f(x)= 1/3 (5-x)^4 is -(4(5-x)^3)/3

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derivative of

f (x) = \frac{1}{3} (5 - x)^{4}

- \frac{4 ( 5 - x ) ^{3}}{3}

Solution steps

\frac{d}{d x} (\frac{1}{3} (5 - x)^{4})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{1}{3} \frac{d}{d x} ((5 - x)^{4})

Apply the chain rule:

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

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

\frac{d}{d x} (5 - x) = - 1

= \frac{1}{3} \cdot 4 (5 - x)^{3} (- 1)

Simplify

\frac{1}{3} \cdot 4 (5 - x)^{3} (- 1) : - \frac{4 ( 5 - x ) ^{3}}{3}

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

y^{^{''}} - 6 y^{^{'}} + 8 y = e^{x} (11 - 6 x)

\frac{3 s + 5}{s ^{2} + 4 s + 13}

\int \frac{e ^{x}}{3 + 2 e ^{x} - e ^{2 x}} d x

y = 9 x^{2} - x^{3} + x, y = x^{2} + 16 x

x \to 3 lim (\frac{x ^{2} - 1}{x - 1})

What is the derivative of f(x)= 1/3 (5-x)^4 ?
The derivative of f(x)= 1/3 (5-x)^4 is -(4(5-x)^3)/3
What is the first derivative of f(x)= 1/3 (5-x)^4 ?
The first derivative of f(x)= 1/3 (5-x)^4 is -(4(5-x)^3)/3