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Popular >

derivative of c^1cos(x+c^2sin(x))

Solution

\frac{d}{d x} (c^{1} cos (x) + c^{2} sin (x))

Solution

- c sin (x) + c^{2} cos (x)

Solution steps

\frac{d}{d x} (c^{1} cos (x) + c^{2} sin (x))

Simplify

c^{1} cos (x) + c^{2} sin (x) : c cos (x) + c^{2} sin (x)

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

Apply the Sum/Difference Rule:

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

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

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

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

= - c sin (x) + c^{2} cos (x)

Graph

Popular Examples

limit as x approaches-4 of 12x+1

x \to - 4 lim (12 x + 1)

integral of 1/(xsqrt(ln^2(x)+1))

\int \frac{1}{x ln ^{2} ( x ) + 1} d x

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

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

d/(dθ)(sec^2(mθ))

\frac{d}{d θ} (sec^{2} (m θ))

integral from 4 to 6 of 1/(4+(x-4)^2)

\int_{4}^{6} \frac{1}{4 + ( x - 4 ) ^{2}} d x

Frequently Asked Questions (FAQ)

What is the derivative of c^1cos(x+c^2sin(x)) ?
The derivative of c^1cos(x+c^2sin(x)) is -csin(x)+c^2cos(x)
What is the first derivative of c^1cos(x+c^2sin(x)) ?
The first derivative of c^1cos(x+c^2sin(x)) is -csin(x)+c^2cos(x)