What is the derivative of f(x)=4x^4-5x^3+2x-3 ?

The derivative of f(x)=4x^4-5x^3+2x-3 is 16x^3-15x^2+2

What is the first derivative of f(x)=4x^4-5x^3+2x-3 ?

The first derivative of f(x)=4x^4-5x^3+2x-3 is 16x^3-15x^2+2

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derivative of

f (x) = 4 x^{4} - 5 x^{3} + 2 x - 3

16 x^{3} - 15 x^{2} + 2

Solution steps

\frac{d}{d x} (4 x^{4} - 5 x^{3} + 2 x - 3)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x^{4}) - \frac{d}{d x} (5 x^{3}) + \frac{d}{d x} (2 x) - \frac{d}{d x} (3)

\frac{d}{d x} (4 x^{4}) = 16 x^{3}

\frac{d}{d x} (5 x^{3}) = 15 x^{2}

\frac{d}{d x} (2 x) = 2

\frac{d}{d x} (3) = 0

= 16 x^{3} - 15 x^{2} + 2 - 0

Simplify

= 16 x^{3} - 15 x^{2} + 2

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What is the derivative of f(x)=4x^4-5x^3+2x-3 ?
The derivative of f(x)=4x^4-5x^3+2x-3 is 16x^3-15x^2+2
What is the first derivative of f(x)=4x^4-5x^3+2x-3 ?
The first derivative of f(x)=4x^4-5x^3+2x-3 is 16x^3-15x^2+2