Home > Calculus > Derivative Rules for y=cos(x) and y=tan(x)

How do you find the derivative of #(pi)(cos t - 1/t^2)#?

Answer 1

Isaiah Allen

# dy/dt=-pisint+(2pi)/t^3#

To write the function in a more readable format, multiply it out first and then apply the laws of exponents as follows:

#y=picost-pit^(-2)#

Now, determine the derivative using the standard differentiation rules:

#therefore dy/dt=-pisint+2pit^(-3)#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Elijah Abram

To find the derivative of ( \pi(\cos(t) - \frac{1}{t^2}) ), you can use the product rule and the derivative of cosine:

[ \frac{d}{dt}(\pi(\cos(t) - \frac{1}{t^2})) = \pi \left( -\sin(t) + \frac{2}{t^3} \right) ]

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.