Chapter 1.1, Problem 41E

Find the derivative of the function. 54 q(y)=4y² (2y²+1)

Find the derivative of the function. k(x) = − 6(5x +4) -

Find all values of x for the given function where the tangent line is horizontal. 3 =√x³-12x² + 45x+5

Find the equation of the tangent line to the graph of the given function at the given value of x. 6 f(x) = x(x² - 4x+5)*; x=2

Find the equation of the tangent line to the graph of the given function at the given value of x. f(x)=√√x+33; x=4

Find g[f(-7)]. f(x) = x² + 1; g(x)=-5x-1

Find the x-values where the following do not have derivatives.

Let f(x)=7x²-2x and g(x) = 5x+3. Find f[g(k)].

Express the integrand as a sum of partial fractions and evaluate the integral. 2 32s+ 32 (s²+1) (s-1)3 ds Express the integrand as a sum of partial fractions. (Simplify your answer.)