Math 30 Date: Derivative Gateway Test Name: Find the derivative of ...
Math 30 Date: Derivative Gateway Test Name: Find the derivative of ...
Math 30 Date: Derivative Gateway Test Name: Find the derivative of ...
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<strong>Math</strong> <strong>30</strong><strong>Date</strong>: <strong>Derivative</strong> <strong>Gateway</strong> <strong>Test</strong> <strong>Name</strong>:<strong>Find</strong> <strong>the</strong> <strong>derivative</strong> <strong>of</strong> each <strong>of</strong> <strong>the</strong> following functions. Do not simplify your answers.Be careful when writing answers, since all errors count, including missing paren<strong>the</strong>ses! No notes orcalculators allowed.Time Limit: 20 minutes.( ) s2 311. H =2 + 4 − 2s24. G = (cos2φ)(ln 1 2 φ)48. A =s 2 − s4s 3 − 2s + 179. y = 4√ t − 1t 3 − 193. f(t) = 0.004e −0.0032t110. y = x 2√ 1 − x 4138. h(r) = 2πr 2 + 80r
<strong>Math</strong> <strong>30</strong><strong>Date</strong>: <strong>Derivative</strong> <strong>Gateway</strong> <strong>Test</strong> <strong>Name</strong>:<strong>Find</strong> <strong>the</strong> <strong>derivative</strong> <strong>of</strong> each <strong>of</strong> <strong>the</strong> following functions. Do not simplify your answers.Be careful when writing answers, since all errors count, including missing paren<strong>the</strong>ses! No notes orcalculators allowed.Time Limit: 20 minutes.19. y = (t2 + 1) 5+ πt531. f(x) = √ x + 1 tan(πx)57. f(x) =lnx + ln 5x 5 + π67. h(t) = √ e 3t + 481. y = ex + e x108. y = x 4 ln(4.7x)121. y = (ax) 2 + bx + c, where a, b, c are constants
<strong>Math</strong> <strong>30</strong><strong>Date</strong>: <strong>Derivative</strong> <strong>Gateway</strong> <strong>Test</strong> <strong>Name</strong>:<strong>Find</strong> <strong>the</strong> <strong>derivative</strong> <strong>of</strong> each <strong>of</strong> <strong>the</strong> following functions. Do not simplify your answers.Be careful when writing answers, since all errors count, including missing paren<strong>the</strong>ses! No notes orcalculators allowed.Time Limit: 20 minutes.15. f(x) = 1 2 (x3 + 3x + π) 232. f(s) = (s − 1)ln(s 2 + 1)47. V = 6r2r + 170. g(θ) = 2θ + sin θθ95. f(t) = 1 + e2t2115. f(x) = √ lnx + ex 21<strong>30</strong>. s(t) = − g 2 t2 + v 0 t, where g, v 0 are constants
<strong>Math</strong> <strong>30</strong><strong>Date</strong>: <strong>Derivative</strong> <strong>Gateway</strong> <strong>Test</strong> <strong>Name</strong>:<strong>Find</strong> <strong>the</strong> <strong>derivative</strong> <strong>of</strong> each <strong>of</strong> <strong>the</strong> following functions. Do not simplify your answers.Be careful when writing answers, since all errors count, including missing paren<strong>the</strong>ses! No notes orcalculators allowed.Time Limit: 20 minutes.18. y = (t 3 − 3t 2 + 4t − 2) 6 − 2 ln239. H(x) = e −2x sin(x + π)52. f(z) =ze 2z + e z72. H = (1 − t 3 ) −3 + (t 2 + 1) 1/387. y = 1 2 (ex − e −x )116. F(s) = ln ( cos(2s) + 2 )138. h(r) = 2πr 2 + 80r
<strong>Math</strong> <strong>30</strong><strong>Date</strong>: <strong>Derivative</strong> <strong>Gateway</strong> <strong>Test</strong> <strong>Name</strong>:<strong>Find</strong> <strong>the</strong> <strong>derivative</strong> <strong>of</strong> each <strong>of</strong> <strong>the</strong> following functions. Do not simplify your answers.Be careful when writing answers, since all errors count, including missing paren<strong>the</strong>ses! No notes orcalculators allowed.Time Limit: 20 minutes.13. f(x) = (xln 3) 3 − 5x 2 − x38. g(x) = √ xln(x − 3)50. y =e 2x1 − e −x/270. g(θ) = 2θ + sin θθ83. y = 2 x + 3 2112. f(x) =( ) 3 2sin x139. h(r) = 2r 8√ 1 − r 2
<strong>Math</strong> <strong>30</strong><strong>Date</strong>: <strong>Derivative</strong> <strong>Gateway</strong> <strong>Test</strong> <strong>Name</strong>:<strong>Find</strong> <strong>the</strong> <strong>derivative</strong> <strong>of</strong> each <strong>of</strong> <strong>the</strong> following functions. Do not simplify your answers.Be careful when writing answers, since all errors count, including missing paren<strong>the</strong>ses! No notes orcalculators allowed.Time Limit: 20 minutes.15. f(x) = 1 2 (x3 + 3x + π) 226. y = (x 2 − 3x)cos(2x + 1)52. f(z) =ze 2z + e z70. g(θ) = 2θ + sin θθ91. f(t) = 5 sin t103. y =ln(x + 3)x 2131. g(y) = cos(ln y)
<strong>Math</strong> <strong>30</strong><strong>Date</strong>: <strong>Derivative</strong> <strong>Gateway</strong> <strong>Test</strong> <strong>Name</strong>:<strong>Find</strong> <strong>the</strong> <strong>derivative</strong> <strong>of</strong> each <strong>of</strong> <strong>the</strong> following functions. Do not simplify your answers.Be careful when writing answers, since all errors count, including missing paren<strong>the</strong>ses! No notes orcalculators allowed.Time Limit: 20 minutes.√2θ10. B(θ) =3 −θ−π2− θ34. f(θ) = (cosθ)(sin 2 π θ)50. y =e 2x1 − e −x/278. y = t(t 3 − 4) 1/492. f(t) = 24(1.04) t110. y = x 2√ 1 − x 4122. y = xe bx , where b is a constant
<strong>Math</strong> <strong>30</strong><strong>Date</strong>: <strong>Derivative</strong> <strong>Gateway</strong> <strong>Test</strong> <strong>Name</strong>:<strong>Find</strong> <strong>the</strong> <strong>derivative</strong> <strong>of</strong> each <strong>of</strong> <strong>the</strong> following functions. Do not simplify your answers.Be careful when writing answers, since all errors count, including missing paren<strong>the</strong>ses! No notes orcalculators allowed.Time Limit: 20 minutes.15. f(x) = 1 2 (x3 + 3x + π) 221. y = e t sin(πt − 1)45. y = x2lnx(76. f(x) = ln e x + 1 )x90. y = 4e 3x+1110. y = x 2√ 1 − x 4133. g(y) = π cos(2πy)
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