What is the derivative of 5x^2-1+7e^x ?

The derivative of 5x^2-1+7e^x is 10x+7e^x

What is the first derivative of 5x^2-1+7e^x ?

The first derivative of 5x^2-1+7e^x is 10x+7e^x

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derivative of

5 x^{2} - 1 + 7 e^{x}

10 x + 7 e^{x}

Solution steps

\frac{d}{d x} (5 x^{2} - 1 + 7 e^{x})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (5 x^{2}) - \frac{d}{d x} (1) + \frac{d}{d x} (7 e^{x})

\frac{d}{d x} (5 x^{2}) = 10 x

\frac{d}{d x} (1) = 0

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

= 10 x - 0 + 7 e^{x}

Simplify

= 10 x + 7 e^{x}

What is the derivative of 5x^2-1+7e^x ?
The derivative of 5x^2-1+7e^x is 10x+7e^x
What is the first derivative of 5x^2-1+7e^x ?
The first derivative of 5x^2-1+7e^x is 10x+7e^x