What is the derivative of e^4x^7 ?

The derivative of e^4x^7 is 7e^4x^6

What is the first derivative of e^4x^7 ?

The first derivative of e^4x^7 is 7e^4x^6

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\frac{d}{d x} (e^{4} x^{7})

7 e^{4} x^{6}

Solution steps

\frac{d}{d x} (e^{4} x^{7})

Take the constant out:

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

= e^{4} \frac{d}{d x} (x^{7})

Apply the Power Rule:

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

= e^{4} \cdot 7 x^{7 - 1}

Simplify

= 7 e^{4} x^{6}

\int (3 x^{2} - 2)^{2} d x

f (x) = x^{2} + 5

y^{^{'}} = - \frac{9 x}{16 y}

y^{^{''}} + y = 3 e^{- 8 x}, y (0) = 0, y^{^{'}} (0) = 0

x \to 4 lim (16 - x^{2})

What is the derivative of e^4x^7 ?
The derivative of e^4x^7 is 7e^4x^6
What is the first derivative of e^4x^7 ?
The first derivative of e^4x^7 is 7e^4x^6