What is (\partial)/(\partial x)(sin(x+t)) ?

The answer to (\partial)/(\partial x)(sin(x+t)) is cos(x+t)

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(\partial)/(\partial x)(sin(x+t))

\frac{\partial}{\partial x} (sin (x + t))

cos (x + t)

Solution steps

\frac{\partial}{\partial x} (sin (x + t))

Treat

t

as a constant

Apply the chain rule:

cos (x + t) \frac{\partial}{\partial x} (x + t)

= cos (x + t) \frac{\partial}{\partial x} (x + t)

\frac{\partial}{\partial x} (x + t) = 1

= cos (x + t) \cdot 1

Simplify

= cos (x + t)

x \to - 9 + lim (\frac{1}{( x + 9 ) ^{2}})

\int \frac{x ^{3}}{36 - x ^{2}} d x

x \to - 10 + lim (f (x))

\int 3 sin (\frac{x}{3}) d x

\int (x^{2} - 3) e^{x} d x

What is (\partial)/(\partial x)(sin(x+t)) ?
The answer to (\partial)/(\partial x)(sin(x+t)) is cos(x+t)