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Popular >

derivative of f(x)=sin(4x)-cos(3x)

Solution

derivative of

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

Solution

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

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

Popular Examples

(dy)/(dx)=x^3+x^2-5x+11

\frac{d y}{d x} = x^{3} + x^{2} - 5 x + 11

integral from 1 to 1000 of (21)/(x^3)

\int_{1}^{1000} \frac{21}{x ^{3}} d x

y^{''}-2y^'+5y=e^tcos(2t)

y^{^{''}} - 2 y^{^{'}} + 5 y = e^{t} cos (2 t)

laplacetransform (sin(6t)-7)^2 laplace transform

(sin (6 t) - 7)^{2}

integral of (cos^2(θ))/(sin(θ))

\int \frac{cos ^{2} ( θ )}{sin ( θ )} d θ

Frequently Asked Questions (FAQ)

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