What is the derivative of y=5e^{(6x+7)} ?

The derivative of y=5e^{(6x+7)} is 30e^{6x+7}

What is the first derivative of y=5e^{(6x+7)} ?

The first derivative of y=5e^{(6x+7)} is 30e^{6x+7}

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derivative of

y = 5 e^{(6 x + 7)}

30 e^{6 x + 7}

Solution steps

\frac{d}{d x} (5 e^{6 x + 7})

Take the constant out:

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

= 5 \frac{d}{d x} (e^{6 x + 7})

Apply the chain rule:

e^{6 x + 7} \frac{d}{d x} (6 x + 7)

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

\frac{d}{d x} (6 x + 7) = 6

= 5 e^{6 x + 7} \cdot 6

Simplify

= 30 e^{6 x + 7}

\int e^{- x} (1 + e^{- x})^{3} d x

\frac{d}{d x} (0.01 x^{2})

f (x) = 2 - x^{2}

f (x) = 5 + 5 x^{2} - 2 x^{3}, at x = a

x \to 0 lim (\frac{3}{1 + x})

What is the derivative of y=5e^{(6x+7)} ?
The derivative of y=5e^{(6x+7)} is 30e^{6x+7}
What is the first derivative of y=5e^{(6x+7)} ?
The first derivative of y=5e^{(6x+7)} is 30e^{6x+7}