What is the derivative of y=7x^6 ?

The derivative of y=7x^6 is 42x^5

What is the first derivative of y=7x^6 ?

The first derivative of y=7x^6 is 42x^5

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derivative of

y = 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}

x^{3} + 3 x + 5

x^{3} y^{3}

\frac{d}{d x} (a \cdot e^{2 x} + b \cdot e^{x} + c)

\frac{e ^{x} - 2}{2}

lo g_{10} (x^{2} + x)

What is the derivative of y=7x^6 ?
The derivative of y=7x^6 is 42x^5
What is the first derivative of y=7x^6 ?
The first derivative of y=7x^6 is 42x^5