What is the derivative of f(x)=10x^5 ?

The derivative of f(x)=10x^5 is 50x^4

What is the first derivative of f(x)=10x^5 ?

The first derivative of f(x)=10x^5 is 50x^4

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derivative of

f (x) = 10 x^{5}

50 x^{4}

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 10 \cdot 5 x^{5 - 1}

Simplify

= 50 x^{4}

(a, b + 3), (a - 4, 3 b)

(13, 8), (- 6, - 6)

5 e^{x}

4 x - y + 12 = 0

f (x) = tan (2 x), at x = 0

What is the derivative of f(x)=10x^5 ?
The derivative of f(x)=10x^5 is 50x^4
What is the first derivative of f(x)=10x^5 ?
The first derivative of f(x)=10x^5 is 50x^4