What is the derivative of y=x+2xsin(x) ?

The derivative of y=x+2xsin(x) is 1+2(sin(x)+xcos(x))

What is the first derivative of y=x+2xsin(x) ?

The first derivative of y=x+2xsin(x) is 1+2(sin(x)+xcos(x))

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derivative of

y = x + 2 x sin (x)

1 + 2 (sin (x) + x cos (x))

Solution steps

\frac{d}{d x} (x + 2 x sin (x))

Apply the Sum/Difference Rule:

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

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

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

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

= 1 + 2 (sin (x) + x cos (x))

y = tan (- x + 1)

\frac{d}{d x} ((x^{2} - 2) (m - n) - 2 m + 2 n)

2^{x} - x^{2}

(x^{2} + 3 x)^{5}

\frac{d}{d x} (\frac{( 4 x - y )}{( 2 x + y )})

What is the derivative of y=x+2xsin(x) ?
The derivative of y=x+2xsin(x) is 1+2(sin(x)+xcos(x))
What is the first derivative of y=x+2xsin(x) ?
The first derivative of y=x+2xsin(x) is 1+2(sin(x)+xcos(x))