What is the derivative of e^{x^4}+log_{3}(pi) ?

The derivative of e^{x^4}+log_{3}(pi) is 4e^{x^4}x^3

What is the first derivative of e^{x^4}+log_{3}(pi) ?

The first derivative of e^{x^4}+log_{3}(pi) is 4e^{x^4}x^3

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\frac{d}{d x} (e^{x^{4}} + lo g_{3} (π))

4 e^{x^{4}} x^{3}

Solution steps

\frac{d}{d x} (e^{x^{4}} + lo g_{3} (π))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (e^{x^{4}}) + \frac{d}{d x} (lo g_{3} (π))

\frac{d}{d x} (e^{x^{4}}) = e^{x^{4}} \cdot 4 x^{3}

\frac{d}{d x} (lo g_{3} (π)) = 0

= e^{x^{4}} \cdot 4 x^{3} + 0

Simplify

= 4 e^{x^{4}} x^{3}

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

\frac{\partial}{\partial x} (y (2 - x - y))

\frac{\partial}{\partial z} (5 z)

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

What is the derivative of e^{x^4}+log_{3}(pi) ?
The derivative of e^{x^4}+log_{3}(pi) is 4e^{x^4}x^3
What is the first derivative of e^{x^4}+log_{3}(pi) ?
The first derivative of e^{x^4}+log_{3}(pi) is 4e^{x^4}x^3