# What is the equation of the tangent line of #f(x)=4x^3+12x^2+9x+7# at #x=-3#?

y = 45x + 115

to determine the tangent's equation in the formula y = mx + c.

We need to determine the value of c as well as the gradient, m.

We obtain m by evaluating f'(-3) and c by evaluating f(-3) respectively.

Y = 45x + c is the partial equation; to find c, enter (-3,-20) into the partial equation.

Consequently, -20 = -135 + c → c = 115

Tangent equation: y = 45x + 115

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

The equation of the tangent line of f(x)=4x^3+12x^2+9x+7 at x=-3 is y = -18x - 19.

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.

- What is the slope of #f(x)=-e^(x-3x^3) # at #x=-2#?
- How do you find f'(x) using the definition of a derivative for #f(x)= 1/(x-3)#?
- How do you use the definition of a derivative to find the derivative of #f(x)=4+x-2x^2#?
- How do you find the slope of the tangent line to the graph of the function #f(x)=5-x^2# at (2,1)?
- How do you find the equation of a line tangent to the function #y=2x^2-5x# at (2,-2)?

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