What is the derivative of 4sin(x-3cos(x)) ?

The derivative of 4sin(x-3cos(x)) is 4cos(x)+3sin(x)

What is the first derivative of 4sin(x-3cos(x)) ?

The first derivative of 4sin(x-3cos(x)) is 4cos(x)+3sin(x)

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\frac{d}{d x} (4 sin (x) - 3 cos (x))

4 cos (x) + 3 sin (x)

Solution steps

\frac{d}{d x} (4 sin (x) - 3 cos (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 sin (x)) - \frac{d}{d x} (3 cos (x))

\frac{d}{d x} (4 sin (x)) = 4 cos (x)

\frac{d}{d x} (3 cos (x)) = - 3 sin (x)

= 4 cos (x) - (- 3 sin (x))

Simplify

= 4 cos (x) + 3 sin (x)

x \to 0 lim ((\frac{sin ( x )}{x})^{\frac{1}{x}})

y^{^{'}} - 2 y = 3 e^{2 t}

\frac{\partial}{\partial x} (8 x^{3} y - 7 y^{2} + 2 x)

f (x) = 2 cos (x), at x = \frac{π}{3}

\frac{d}{d x} (x^{2} + 15)

What is the derivative of 4sin(x-3cos(x)) ?
The derivative of 4sin(x-3cos(x)) is 4cos(x)+3sin(x)
What is the first derivative of 4sin(x-3cos(x)) ?
The first derivative of 4sin(x-3cos(x)) is 4cos(x)+3sin(x)