What is the derivative of sin(x)+ln(x^2)+e^2x ?

The derivative of sin(x)+ln(x^2)+e^2x is cos(x)+2/x+e^2

What is the first derivative of sin(x)+ln(x^2)+e^2x ?

The first derivative of sin(x)+ln(x^2)+e^2x is cos(x)+2/x+e^2

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derivative of

sin (x) + ln (x^{2}) + e^{2} x

cos (x) + \frac{2}{x} + e^{2}

Solution steps

\frac{d}{d x} (sin (x) + ln (x^{2}) + e^{2} x)

Apply the Sum/Difference Rule:

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

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

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

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

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

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

What is the derivative of sin(x)+ln(x^2)+e^2x ?
The derivative of sin(x)+ln(x^2)+e^2x is cos(x)+2/x+e^2
What is the first derivative of sin(x)+ln(x^2)+e^2x ?
The first derivative of sin(x)+ln(x^2)+e^2x is cos(x)+2/x+e^2