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(e*) Product and Quotient rules p. [(x + 1)(x² - 4)] 0. Chain rule: r. [(t+3)³] S. t. u. W. Partial Derivatives: X. (sin(cos(p))) (ej (wt-Bz)) dp d dt v. (x²

+ y² + z²) ax (x² + y² + z²) N Z. - (ei (wt-Bz)) dz (x²y³z-4) əx a y. [t²w² + x] at a əx ləy (xy²z³+z5x³)]/nProblem 1 (26 points) - Evaluate the following calculus expressions. Power rules: a. f(x) = 7 Find f'(x) b. f(x) = 2x, Find=f(x) -(-10x) C. d. e. k. 1. dx m. dz f. 8. (1) dx h. i. (6√) n. (2z² + 3) d² dz² Trigonometric derivatives: j. (- cos (8)) de -(2z² + 3) (-4y-³+8y² +82) (x²-3x²+4) d de d d # (# (# (# (m(x)))) dx dx dx dx d4 dx4 d (cos(x)) (tan(d)) (sin 8- cos 0) Exponential functions:

Fig: 1

Fig: 2