## Equation of Tangent Lines

### 1. Find an equation of the tangent line to \(f(x) = x^3+4\) at the point \((1, 5)\). Write your final answer in the
form \(y = mx + b\). solution

### 2. Find an equation of the tangent line to \(f(x) = \frac{3}{4}\, x^4+3x^2-5x+\frac{1}{4}\) at the point \((1, -1)\). Write your final answer in the form \(y = mx + b\). solution

### 3. Find an equation of the tangent line to the curve \( y=3+5x-e^x\) at the point \((0, 2)\). solution

### 4. Find an equation of the tangent line to the curve \( y=1+xe^x\) at the point \((0, 1)\). solution

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