What is the derivative of f(x)=-7x^6 ?

The derivative of f(x)=-7x^6 is -42x^5

What is the first derivative of f(x)=-7x^6 ?

The first derivative of f(x)=-7x^6 is -42x^5

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derivative of

f (x) = - 7 x^{6}

- 42 x^{5}

Solution steps

\frac{d}{d x} (- 7 x^{6})

Take the constant out:

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

= - 7 \frac{d}{d x} (x^{6})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= - 7 \cdot 6 x^{6 - 1}

Simplify

= - 42 x^{5}

\frac{( 5 x ^{3} + 4 )}{( 2 x )}

3^{4} x

\frac{cos ( x )}{x ^{2}}

x \cdot e^{x} - 2

23 x - 9

What is the derivative of f(x)=-7x^6 ?
The derivative of f(x)=-7x^6 is -42x^5
What is the first derivative of f(x)=-7x^6 ?
The first derivative of f(x)=-7x^6 is -42x^5