How do you find the derivative of #f(x)=x^2+4x+8#?
#f^'(x)=2x+4#
Given -
By signing up, you agree to our Terms of Service and Privacy Policy
To find the derivative of ( f(x) = x^2 + 4x + 8 ), you apply the power rule and the sum rule of differentiation. The power rule states that the derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ), and the sum rule states that the derivative of the sum of two functions is the sum of their derivatives. Therefore, the derivative of ( f(x) ) is ( f'(x) = 2x + 4 ).
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.
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 #dy/dx# by implicit differentiation of #x^2-y^3=0# and evaluate at point (1,1)?
- How do you differentiate #f(x)=4x(2x+3)^2 # using the product rule?
- How do you differentiate #g(y) =x^2(x^2 - 1) # using the product rule?
- How do you find the derivative of #f(x) = x^4 - 3/4x^3 - 4x^2 +1#?
- How do you integrate #y=(sin18x)/(6x)# using the quotient rule?

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