What is the derivative of f(x)=e^{x+1}-3e^x+2e^{x^3} ?

The derivative of f(x)=e^{x+1}-3e^x+2e^{x^3} is e^{x+1}-3e^x+6e^{x^3}x^2

What is the first derivative of f(x)=e^{x+1}-3e^x+2e^{x^3} ?

The first derivative of f(x)=e^{x+1}-3e^x+2e^{x^3} is e^{x+1}-3e^x+6e^{x^3}x^2

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derivative of

f (x) = e^{x + 1} - 3 e^{x} + 2 e^{x^{3}}

e^{x + 1} - 3 e^{x} + 6 e^{x^{3}} x^{2}

Solution steps

\frac{d}{d x} (e^{x + 1} - 3 e^{x} + 2 e^{x^{3}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (e^{x + 1}) - \frac{d}{d x} (3 e^{x}) + \frac{d}{d x} (2 e^{x^{3}})

\frac{d}{d x} (e^{x + 1}) = e^{x + 1}

\frac{d}{d x} (3 e^{x}) = 3 e^{x}

\frac{d}{d x} (2 e^{x^{3}}) = 6 e^{x^{3}} x^{2}

= e^{x + 1} - 3 e^{x} + 6 e^{x^{3}} x^{2}

\int_{2}^{\infty} 2 x^{- 2} d x

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\int (\frac{1}{y}) d y

\int_{0}^{9} π y^{3} d y

x^{3} - 10 x, 6 x, [- 4, 4]

What is the derivative of f(x)=e^{x+1}-3e^x+2e^{x^3} ?
The derivative of f(x)=e^{x+1}-3e^x+2e^{x^3} is e^{x+1}-3e^x+6e^{x^3}x^2
What is the first derivative of f(x)=e^{x+1}-3e^x+2e^{x^3} ?
The first derivative of f(x)=e^{x+1}-3e^x+2e^{x^3} is e^{x+1}-3e^x+6e^{x^3}x^2