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Popular >

derivative of 11sin(t)+14cos(t)

Solution

derivative of

11 sin (t) + 14 cos (t)

Solution

11 cos (t) - 14 sin (t)

Solution steps

\frac{d}{d t} (11 sin (t) + 14 cos (t))

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (11 sin (t)) + \frac{d}{d t} (14 cos (t))

\frac{d}{d t} (11 sin (t)) = 11 cos (t)

\frac{d}{d t} (14 cos (t)) = - 14 sin (t)

= 11 cos (t) - 14 sin (t)

Graph

Popular Examples

derivative of x^2+4x+12y-8

\frac{d}{d x} (x^{2} + 4 x + 12 y - 8)

(\partial)/(\partial x)(x^2y^2+4x^2-3xy)

\frac{\partial}{\partial x} (x^{2} y^{2} + 4 x^{2} - 3 x y)

f^{''}(x)=acos(2x)+bsin(2x)

f^{^{''}} (x) = a cos (2 x) + b sin (2 x)

(\partial)/(\partial x)((x-1)^2)

\frac{\partial}{\partial x} ((x - 1)^{2})

sum from n=1 to infinity of 3(1/4)^{n-1}

n = 1 \sum \infty 3 (\frac{1}{4})^{n - 1}

Frequently Asked Questions (FAQ)

What is the derivative of 11sin(t)+14cos(t) ?
The derivative of 11sin(t)+14cos(t) is 11cos(t)-14sin(t)
What is the first derivative of 11sin(t)+14cos(t) ?
The first derivative of 11sin(t)+14cos(t) is 11cos(t)-14sin(t)