# What is the slope of the line normal to the tangent line of #f(x) = e^(x^2-1)+3x-2 # at # x= 1 #?

the gradient of the normal at

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

To find the slope of the line normal to the tangent line of ( f(x) = e^{x^2-1} + 3x - 2 ) at ( x = 1 ), first, find the derivative of ( f(x) ) using the chain rule. Then, evaluate the derivative at ( x = 1 ) to find the slope of the tangent line. The slope of the line normal to the tangent line will be the negative reciprocal of the slope of the tangent line.

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 equation of the line tangent to the graph of #y=cosx# at x=π/4?
- What is the slope of the line normal to the tangent line of #f(x) = cscx+cos^2(5x-pi) # at # x= (11pi)/8 #?
- How do you find the equation of the tangent line to the graph #f(x)=x^3# at the point where x=2?
- What is the slope of the line normal to the tangent line of #f(x) = x^2-sqrtx # at # x= 3 #?
- How do you use the limit definition to compute the derivative, f'(x), for #f(x)=cos(3x)#?

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