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- Determine whether each of the following statements is true or false, and explain why. The derivative of a product is the product of the derivatives.Determine whether each of the following statements is true or false, and explain why. The derivative of a quotient is the quotient of the derivatives.YOUR TURN Find an equation of the curve whose tangent line has slope f(x)=3x1/2+4 and passes through the point (1,2).
- In Exercises 27-32, recall that the slope of the tangent line to a graph is given by the derivative of the function. Find the slope of the tangent line to the graph of each equation at the given point. You may wish to use a graphing calculator to support your answers. y=cosx; x=-/4Determine whether each of the following statements is true or false, and explain why. The derivative of a sum is the sum of the derivatives.Use implicit differentiation to find an equation of the tangent line to the graph of the equation at the given point. Equation Point y3 − 8x2y + 9xy2 = −1 (0, −1)
- Find all derivatives of the cosine function.Use implicit differentiation to find an equation of the tangent line to the graph at the given point. x + y- 1 = In(x° + y°), (1, 0) y(x) = Need Help? Read ItUse implicit differentiation to find the equation of the tangent line to the function defined implicitly by the equation below at the point (−1,1). x3 −x2 y5 =−2 Give your answer in the form y=mx+b.
- Find all derivatives of the sine function.Using implicit differentiation, for the equation z5+y = 9 is. Next page O o OUse implicit differentiation to find the equation of the tangent line to the function defined implicitly by the equation below at the point (−1,1). x3 − x2 y 5 = −2 Give your answer in the form y=mx+b.