Evaluate the derivative of the given function for the given value of x using the product rule. y (5x-3)(17x), x=4 Find y' using the product rule. y' Find y' (a) by applying the product rule and (b) by multiplying the factors to produce a sum of simpler terms to differentiate. y= (4-x) (x-4x+5) (a) Find y' by applying the product rule. Fully expand your answer. y' = (Simplify your answer. Do not factor.) Differentiate the function. Simplify the derivative. 1 y: (2x+1)5 dy dy- dx Differentiate the given function. Simplify the derivative. x-9)6 y= x+1 dy 60(x-9)5 dx (x+1)7 Given y = 128x +96x+27 (8x+9)4 find y'. Simplify the derivative. 2048x2 y' = (8x+9)5 (Type an exact answer in simplified form.) Find the equation of the line tangent to the given curve with the given slope. y= x-6x, with tangent line of slope 2 The equation of the tangent line is y = A metal circular ring is being cooled. Find the instantaneous rate at which the circumference changes with respect to the radius (measured in centimeters). The instantaneous rate of change is cm / cm. (Type an exact answer including if necessary. Do write the answer in decimal form.)