What is the derivative of 10500x+1/5 x^5+1900 ?

The derivative of 10500x+1/5 x^5+1900 is x^4+10500

What is the first derivative of 10500x+1/5 x^5+1900 ?

The first derivative of 10500x+1/5 x^5+1900 is x^4+10500

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\frac{d}{d x} (10500 x + \frac{1}{5} x^{5} + 1900)

x^{4} + 10500

Solution steps

\frac{d}{d x} (10500 x + \frac{1}{5} x^{5} + 1900)

Simplify

10500 x + \frac{1}{5} x^{5} + 1900 : 10500 x + \frac{x ^{5}}{5} + 1900

= \frac{d}{d x} (10500 x + \frac{x ^{5}}{5} + 1900)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (10500 x) + \frac{d}{d x} (\frac{x ^{5}}{5}) + \frac{d}{d x} (1900)

\frac{d}{d x} (10500 x) = 10500

\frac{d}{d x} (\frac{x ^{5}}{5}) = x^{4}

\frac{d}{d x} (1900) = 0

= 10500 + x^{4} + 0

Simplify

= x^{4} + 10500

What is the derivative of 10500x+1/5 x^5+1900 ?
The derivative of 10500x+1/5 x^5+1900 is x^4+10500
What is the first derivative of 10500x+1/5 x^5+1900 ?
The first derivative of 10500x+1/5 x^5+1900 is x^4+10500