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Popular >

derivative of sin(3x)+cos(4x)

Solution

derivative of

sin (3 x) + cos (4 x)

Solution

cos (3 x) \cdot 3 - sin (4 x) \cdot 4

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Popular Examples

integral from 0 to 1 of 1/(x^{0.5)}

\int_{0}^{1} \frac{1}{x ^{0.5}} d x

(\partial)/(\partial x)((3x+1)y)

\frac{\partial}{\partial x} ((3 x + 1) y)

integral of ((x^2+1))/((x-4)(x-3)^2)

\int \frac{( x ^{2} + 1 )}{( x - 4 ) ( x - 3 ) ^{2}} d x

y^{''}-10y^'+34y=0,y(0)=-2,y^'(0)=-3

y^{^{''}} - 10 y^{^{'}} + 34 y = 0, y (0) = - 2, y^{^{'}} (0) = - 3

area 3/x , 3/(x^2),6 area

\frac{3}{x}, \frac{3}{x ^{2}}, 6

Frequently Asked Questions (FAQ)

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