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Popular >

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

Solution

derivative of

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

Solution

3 cos (x) - 2 sin (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Popular Examples

derivative of sinh^3(2x)

\frac{d}{d x} (sinh^{3} (2 x))

integral of (2x^2-25x-33)/((x+1)^2(x-5))

\int \frac{2 x ^{2} - 25 x - 33}{( x + 1 ) ^{2} ( x - 5 )} d x

3e^{5x}(dy)/(dx)=(-25x)/(y^2),y(0)=1

3 e^{5 x} \frac{d y}{d x} = \frac{- 25 x}{y ^{2}}, y (0) = 1

limit as x approaches 2 of (x-1)(x+1)

x \to 2 lim ((x - 1) (x + 1))

(cos(5x))y^'+5(tan(5x))y=2sec(5x)

(cos (5 x)) y^{^{'}} + 5 (tan (5 x)) y = 2 sec (5 x)

Frequently Asked Questions (FAQ)

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