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Popular >

derivative of f(x)=-3cos(x)+2sin(x)

Solution

derivative of

f (x) = - 3 cos (x) + 2 sin (x)

Solution

3 sin (x) + 2 cos (x)

Solution steps

\frac{d}{d x} (- 3 cos (x) + 2 sin (x))

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (3 cos (x)) + \frac{d}{d x} (2 sin (x))

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

\frac{d}{d x} (2 sin (x)) = 2 cos (x)

= - (- 3 sin (x)) + 2 cos (x)

Simplify

= 3 sin (x) + 2 cos (x)

Popular Examples

(\partial)/(\partial x)(7x^6y^4+8x^5y^7)

\frac{\partial}{\partial x} (7 x^{6} y^{4} + 8 x^{5} y^{7})

integral of ((2x^2-x+4))/(x^3+4x)

\int \frac{( 2 x ^{2} - x + 4 )}{x ^{3} + 4 x} d x

limit as x approaches 2 of (x^3+x^2-8x-12)/(x^4+4x^3+5x^2+4x+4)

x \to 2 lim (\frac{x ^{3} + x ^{2} - 8 x - 12}{x ^{4} + 4 x ^{3} + 5 x ^{2} + 4 x + 4})

(\partial)/(\partial x)(z^3-xy+yz+y^3-2)

\frac{\partial}{\partial x} (z^{3} - x y + yz + y^{3} - 2)

inverse oflaplace 4/([s(s^2+4)])inverse laplace

\frac{4}{[ s ( s ^{2} + 4 ) ]}

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=-3cos(x)+2sin(x) ?
The derivative of f(x)=-3cos(x)+2sin(x) is 3sin(x)+2cos(x)
What is the first derivative of f(x)=-3cos(x)+2sin(x) ?
The first derivative of f(x)=-3cos(x)+2sin(x) is 3sin(x)+2cos(x)