What is the derivative of f(x)=7(2-3x)^4 ?

The derivative of f(x)=7(2-3x)^4 is -84(2-3x)^3

What is the first derivative of f(x)=7(2-3x)^4 ?

The first derivative of f(x)=7(2-3x)^4 is -84(2-3x)^3

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derivative of

f (x) = 7 (2 - 3 x)^{4}

- 84 (2 - 3 x)^{3}

Solution steps

\frac{d}{d x} (7 (2 - 3 x)^{4})

Take the constant out:

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

= 7 \frac{d}{d x} ((2 - 3 x)^{4})

Apply the chain rule:

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

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

\frac{d}{d x} (2 - 3 x) = - 3

= 7 \cdot 4 (2 - 3 x)^{3} (- 3)

Simplify

= - 84 (2 - 3 x)^{3}

\int \frac{( x ^{am} - x ^{n} )}{x} d x

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

\int 1 1^{x} d x

x \to 0 - lim (\frac{x ^{2}}{5} - \frac{7}{x})

\frac{d}{d t} (\frac{1}{12 t})

What is the derivative of f(x)=7(2-3x)^4 ?
The derivative of f(x)=7(2-3x)^4 is -84(2-3x)^3
What is the first derivative of f(x)=7(2-3x)^4 ?
The first derivative of f(x)=7(2-3x)^4 is -84(2-3x)^3