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Popular >

derivative of sin(t)-sin(t)cos(t)-5t

Solution

derivative of

sin (t) - sin (t) cos (t) - 5 t

Solution

cos (t) - cos (2 t) - 5

Solution steps

\frac{d}{d t} (sin (t) - sin (t) cos (t) - 5 t)

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (sin (t)) - \frac{d}{d t} (sin (t) cos (t)) - \frac{d}{d t} (5 t)

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

\frac{d}{d t} (sin (t) cos (t)) = cos (2 t)

\frac{d}{d t} (5 t) = 5

= cos (t) - cos (2 t) - 5

Popular Examples

derivative of f(t)=-(50)/(t^3)+5/(t^2)derivative of

f (t) = - \frac{50}{t ^{3}} + \frac{5}{t ^{2}}

integral of etan(x)

\int e tan (x) d x

(d^2)/(dx^2)(cos^2(t))

\frac{d ^{2}}{d x ^{2}} (cos^{2} (t))

integral of (sin(2x))/(cos^2(2x)+5)

\int \frac{sin ( 2 x )}{cos ^{2} ( 2 x ) + 5} d x

limit as x approaches 1 of 4x

x \to 1 lim (4 x)

Frequently Asked Questions (FAQ)

What is the derivative of sin(t)-sin(t)cos(t)-5t ?
The derivative of sin(t)-sin(t)cos(t)-5t is cos(t)-cos(2t)-5
What is the first derivative of sin(t)-sin(t)cos(t)-5t ?
The first derivative of sin(t)-sin(t)cos(t)-5t is cos(t)-cos(2t)-5