What is the derivative of 7x^6 ?

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

What is the first derivative of 7x^6 ?

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

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\frac{d}{d 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}

x \to 0 lim (\frac{( sin ( 3 x ) )}{x})

x^{2} y^{^{''}} - 5 x y^{^{'}} + 9 y = 0

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

\frac{\partial}{\partial x} (\frac{1}{x ^{2} + y ^{2} + 1})

\int_{0}^{1} x e^{- 8 x^{2}} d x