# What is the equation of the tangent line of #f(x)=cosxsinx # at #x=pi/3#?

The slope is given by the derivative. We could differentiate by using the chain rule, but let's use some trigonometry to rewrite the function instead.

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

The equation of the tangent line of f(x)=cosxsinx at x=pi/3 is y = sqrt(3)/4 * x + sqrt(3)/8.

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

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.

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.

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.

- How do you find the instantaneous rate of change of the function #F(x) = e^x# when x=0?
- Suppose #g# is a function whose derivative is #g'(x)=3x^2+1# Is #g# increasing, decreasing, or neither at #x=0#?
- How do you use the definition of a derivative to find the derivative of #f(x)=cosx#?
- How do you find the equation of the tangent and normal line to the curve #y=1/x# at x=2?
- How do you find the derivative of # y=sqrt(x−3)# using the limit definition?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7