What is the derivative of f(x)=7x^4+13x^3-22x^2+5x-3 ?

The derivative of f(x)=7x^4+13x^3-22x^2+5x-3 is 28x^3+39x^2-44x+5

What is the first derivative of f(x)=7x^4+13x^3-22x^2+5x-3 ?

The first derivative of f(x)=7x^4+13x^3-22x^2+5x-3 is 28x^3+39x^2-44x+5

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derivative of

f (x) = 7 x^{4} + 13 x^{3} - 22 x^{2} + 5 x - 3

28 x^{3} + 39 x^{2} - 44 x + 5

Solution steps

\frac{d}{d x} (7 x^{4} + 13 x^{3} - 22 x^{2} + 5 x - 3)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (7 x^{4}) + \frac{d}{d x} (13 x^{3}) - \frac{d}{d x} (22 x^{2}) + \frac{d}{d x} (5 x) - \frac{d}{d x} (3)

\frac{d}{d x} (7 x^{4}) = 28 x^{3}

\frac{d}{d x} (13 x^{3}) = 39 x^{2}

\frac{d}{d x} (22 x^{2}) = 44 x

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

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

= 28 x^{3} + 39 x^{2} - 44 x + 5 - 0

Simplify

= 28 x^{3} + 39 x^{2} - 44 x + 5

x (\frac{d y}{d x}) = - y + 2 x^{2} y

\int y \cdot e^{y} d y

\int x sin (b x) d x

\int - x^{2} + 3 d x

\frac{d}{d x} (x x - 3)

What is the derivative of f(x)=7x^4+13x^3-22x^2+5x-3 ?
The derivative of f(x)=7x^4+13x^3-22x^2+5x-3 is 28x^3+39x^2-44x+5
What is the first derivative of f(x)=7x^4+13x^3-22x^2+5x-3 ?
The first derivative of f(x)=7x^4+13x^3-22x^2+5x-3 is 28x^3+39x^2-44x+5