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Popular >

derivative of sin(x+cos(y))

Solution

\frac{d}{d x} (sin (x) + cos (y))

Solution

cos (x) - sin (y) \frac{d y}{d x}

Solution steps

\frac{d}{d x} (sin (x) + cos (y))

Apply the Sum/Difference Rule:

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

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

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

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

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

Popular Examples

derivative of f(x)= 3/(2x-4)derivative of

f (x) = \frac{3}{2 x - 4}

(\partial)/(\partial x)(xe^{4y}sin(3z))

\frac{\partial}{\partial x} (x e^{4 y} sin (3 z))

integral of 2/(x^2+10x+29)

\int \frac{2}{x ^{2} + 10 x + 29} d x

(1+x^2)(dy)/(dx)-(1+y^2)=0

(1 + x^{2}) \frac{d y}{d x} - (1 + y^{2}) = 0

tangent of f(x)=sqrt(x^2-x+5),\at x=5 tangent of

f (x) = x^{2} - x + 5, at x = 5

Frequently Asked Questions (FAQ)

What is the derivative of sin(x+cos(y)) ?
The derivative of sin(x+cos(y)) is cos(x)-sin(y)(dy)/(dx)
What is the first derivative of sin(x+cos(y)) ?
The first derivative of sin(x+cos(y)) is cos(x)-sin(y)(dy)/(dx)