What is the derivative of sin(xos(x)) ?

The derivative of sin(xos(x)) is so(xcos(x)+sin(x))

What is the first derivative of sin(xos(x)) ?

The first derivative of sin(xos(x)) is so(xcos(x)+sin(x))

Popular >

\frac{d}{d x} (sin (x) os (x))

so (x cos (x) + sin (x))

Solution steps

\frac{d}{d x} (sin (x) os (x))

Treat

s, o

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = sin (x), g = x

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

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

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

= os (cos (x) x + 1 \cdot sin (x))

Simplify

= so (x cos (x) + sin (x))

\int csc (3 x) d x

y^{^{'}} = y - y^{2}, y (0) = 9

\frac{2}{( s + 2 ) ( s + 3 ) ^{2}}

\int 5 x e^{x} d x

\int_{\frac{π}{6}}^{\frac{π}{4}} tan (x) d x

What is the derivative of sin(xos(x)) ?
The derivative of sin(xos(x)) is so(xcos(x)+sin(x))
What is the first derivative of sin(xos(x)) ?
The first derivative of sin(xos(x)) is so(xcos(x)+sin(x))