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Let f(z) = 52¹ and g(z) = e² + z. If h is the function defined by h(z) = f(g(z)), which of the following gives a correct expression for h'(z)? (A) 20(g(z)) = 20 (e²z+z)³ (B) 20(g(z))³= 20 (2e²+1)³ (C) 20(g(z))³-g'(z) = 20 (e²z+z)³ (2e²+1) (D) 5(g(z)) = 5(2e²+1)*

Let f(z) = 52¹ and g(z) = e² + z. If h is the function defined by h(z) = f(g(z)), which of the following gives a correct expression for h'(z)? (A) 20(g(z)) = 20 (e²z+z)³ (B) 20(g(z))³= 20 (2e²+1)³ (C) 20(g(z))³-g'(z) = 20 (e²z+z)³ (2e²+1) (D) 5(g(z)) = 5(2e²+1)*

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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D 16) * 16. Let f(x) = 5x¹ and g(x) = e² + z. If h is the function defined by h(x) = f(g(z)), which of the following gives a correct expression for h'(a)? (A) 20(g(x)) = 20(e² + x)³ (B) 20(g(x))³ = 20 (2e²* + 1)³ (C) 20(g(z))³-g'(x) = 20 (e²z+2)³ (2e²+1) (D) 5(g(x)) = 5(2e²z+1)* O O A B 17) * OO C 17. A B D 3 points Ja² +2² for z <3 a(z+3) for z 23 3 points f(x)= Let f be the function defined above, where a is a constant. For what values of a, if any, is f continuous at z = 3? (A) 0 only (B) 3 only (C) 0 and 3 (D) There is no such a
Transcribed Image Text:D 16) * 16. Let f(x) = 5x¹ and g(x) = e² + z. If h is the function defined by h(x) = f(g(z)), which of the following gives a correct expression for h'(a)? (A) 20(g(x)) = 20(e² + x)³ (B) 20(g(x))³ = 20 (2e²* + 1)³ (C) 20(g(z))³-g'(x) = 20 (e²z+2)³ (2e²+1) (D) 5(g(x)) = 5(2e²z+1)* O O A B 17) * OO C 17. A B D 3 points Ja² +2² for z <3 a(z+3) for z 23 3 points f(x)= Let f be the function defined above, where a is a constant. For what values of a, if any, is f continuous at z = 3? (A) 0 only (B) 3 only (C) 0 and 3 (D) There is no such a
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