# How do you find f''(x) if #f'(x)=tan5x+x^2#?

Take the derivative of the derivative to get the second derivative.

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

To find ( f''(x) ) if ( f'(x) = \tan(5x) + x^2 ), differentiate ( f'(x) ) with respect to ( x ) to obtain ( f''(x) ):

[ f''(x) = \frac{d}{dx}[\tan(5x) + x^2] ]

Apply the derivative rules to each term:

[ f''(x) = \sec^2(5x) \cdot 5 + 2x ]

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.

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