What is the derivative of f(x)=5x^2cos(x)+x ?

The derivative of f(x)=5x^2cos(x)+x is 5(2xcos(x)-x^2sin(x))+1

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

The first derivative of f(x)=5x^2cos(x)+x is 5(2xcos(x)-x^2sin(x))+1

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derivative of

f (x) = 5 x^{2} cos (x) + x

5 (2 x cos (x) - x^{2} sin (x)) + 1

Solution steps

\frac{d}{d x} (5 x^{2} cos (x) + x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x^{2} cos (x)) + \frac{d x}{d x}

\frac{d}{d x} (5 x^{2} cos (x)) = 5 (2 x cos (x) - x^{2} sin (x))

\frac{d x}{d x} = 1

= 5 (2 x cos (x) - x^{2} sin (x)) + 1

What is the derivative of f(x)=5x^2cos(x)+x ?
The derivative of f(x)=5x^2cos(x)+x is 5(2xcos(x)-x^2sin(x))+1
What is the first derivative of f(x)=5x^2cos(x)+x ?
The first derivative of f(x)=5x^2cos(x)+x is 5(2xcos(x)-x^2sin(x))+1