(20 Points) The derivative has various applications and interpretations, including the following:Slope of the tangent line. For each x in the domain of f',f'(x) is the slope of the line tangent to the graph of f at the point (x,f(x))For the function f(x)=3x2-5x3What is the slope of the tangent line at x=2?q,Find the equation of the tangent line to the function at x=2Show each step you use to find the equation here.8.(30 Points) The total profit (in dollars) from the sale of x skateboards isP(x)=30x-0.3x2-250,0x100a. Find the exact profit from the sale of the 26 th skateboard.b. Use marginal profit to approximate the profit from the sale of the 26th skateboard.c. The graph below shows the profit function. After the sale of how many skateboards will the company's profits begin to decrease? , scale 10], scale 1000]