dz Use the Chain Rule to find dt , where z = 2x cosy, x =t, and y = 314. dz dt (Type an expression using t as the variable.)Find z'(t). where z = 1+ -, x=12 + 3t, and y=t - 1, in the following ways. a. Replace x and y to write z as a function of t and differentiate. b. Use the Chain Rule. a. Write z as a function of t. z (1) = 1 2 + 3t 3 - b. To find the derivative using the Chain Rule. begin by finding the intermediate derivatives. (Type an expression using x and y as the variables.) dx = 2t + 3 1P (Type an expression using t as the variable.) (Type an expression using x and y as the variables.) dy 3+2 dt (Type an expression using t as the variable.) 2t + 3 3:2 Using either method, z'(1) = (12 + 34 ) 2 (13 - 1) (Type an expression using t as the variable.)02 Use the Chain Rule to find , where z = 4x sin y, x=t", and y = 3t. dz 4 sinY (Type an expression using x and y as the variables.) dx 2t dt (Type an expression using t as the variable.) dz 4X COSY dy (Type an expression using x and y as the variables.) dy 121- (Type an expression using t as the variable.)