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

The derivative of f(x)=e^{x^6}-x+1 is 6e^{x^6}x^5-1

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

The first derivative of f(x)=e^{x^6}-x+1 is 6e^{x^6}x^5-1

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derivative of

f (x) = e^{x^{6}} - x + 1

6 e^{x^{6}} x^{5} - 1

Solution steps

\frac{d}{d x} (e^{x^{6}} - x + 1)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (e^{x^{6}}) - \frac{d x}{d x} + \frac{d}{d x} (1)

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

\frac{d x}{d x} = 1

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

= e^{x^{6}} \cdot 6 x^{5} - 1 + 0

Simplify

= 6 e^{x^{6}} x^{5} - 1

What is the derivative of f(x)=e^{x^6}-x+1 ?
The derivative of f(x)=e^{x^6}-x+1 is 6e^{x^6}x^5-1
What is the first derivative of f(x)=e^{x^6}-x+1 ?
The first derivative of f(x)=e^{x^6}-x+1 is 6e^{x^6}x^5-1