# How do you differentiate #f(x)=4x^5-5x^4# using the sum rule?

And so, we get:

We can factor this into:

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

To differentiate ( f(x) = 4x^5 - 5x^4 ) using the sum rule, you differentiate each term separately and then add them together.

[ \frac{{d}}{{dx}}(4x^5) = 4 \times 5x^{5-1} = 20x^4 ] [ \frac{{d}}{{dx}}(-5x^4) = -5 \times 4x^{4-1} = -20x^3 ]

So, ( \frac{{d}}{{dx}}(4x^5 - 5x^4) = 20x^4 - 20x^3 ).

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 implicitly differentiate # x^2+x/y-xy^2+x=3y #?
- What is the derivative of #x/(1+x^2)#?
- How do I find the derivative of #y=ln(secx + tanx)#?
- How do you differentiate #sqrt(cos(x^2+2))+sqrt(cos^2x+2)#?
- How do you find the slope of the tangent line to the curve #6x^2 - 2xy + 3y^3 = 216# at the point 6,0?

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