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4. Find the function, given its derivative and its value at some point: (a) f'(x) = 1 f(1) = 4. x√1 - In²(x) (b) g'(t) = 2e²t + e¹, g(0) = 2

4. Find the function, given its derivative and its value at some point: (a) f'(x) = 1 f(1) = 4. x√1 - In²(x) (b) g'(t) = 2e²t + e¹, g(0) = 2

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 13E
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4 4. Find the function, given its derivative and its value at some point: (a) f'(x) = f(1) = 4. 1 x√/1-In²(x)' (b) g' (t) = 2e²t+e¹, g(0) = 2
Transcribed Image Text:4 4. Find the function, given its derivative and its value at some point: (a) f'(x) = f(1) = 4. 1 x√/1-In²(x)' (b) g' (t) = 2e²t+e¹, g(0) = 2
3. Verify that the function F(x) is an antiderivative of the function f(x), then find the given definite integral: (a) F(s) = 3s²s+1, f(s) = 6s – 1, f(s) ds (b) F(x)= arcsin(log(x)), f(x) = 1 x√1 - In²(x) 3 √3/2 Ser f(x) de
Transcribed Image Text:3. Verify that the function F(x) is an antiderivative of the function f(x), then find the given definite integral: (a) F(s) = 3s²s+1, f(s) = 6s – 1, f(s) ds (b) F(x)= arcsin(log(x)), f(x) = 1 x√1 - In²(x) 3 √3/2 Ser f(x) de
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