# How do you find the derivative of #f(t)=4t^3#?

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

To find the derivative of ( f(t) = 4t^3 ), you can use the power rule for differentiation. The power rule states that if you have a function in the form ( f(t) = at^n ), where ( a ) is a constant and ( n ) is any real number, the derivative is ( f'(t) = n \cdot at^{n-1} ). Applying this rule to ( f(t) = 4t^3 ), we get ( f'(t) = 3 \cdot 4t^{3-1} = 12t^2 ). Therefore, the derivative of ( f(t) = 4t^3 ) is ( f'(t) = 12t^2 ).

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 differentiate # x/(e^(2x))#?
- How do you differentiate #arcsin(csc(1-1/x^3)) )# using the chain rule?
- How do you differentiate #f(x) = (tan(3x-2))/(e^(1-x)-1)# using the quotient rule?
- How do you differentiate # y =- ln( x^2 - x +4) # using the chain rule?
- What is the derivative of #(ln x)^(1/5)#?

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