3. Evaluate the limit, if it exists. t²-21-8 t-4 lim 1-4 (t=4) (t+2) t=4 4+2=6 lim- t-2 3t-6 4. Find the limit, if it ex
Posted: Mon Jul 11, 2022 11:16 am
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- 3 Evaluate The Limit If It Exists T 21 8 T 4 Lim 1 4 T 4 T 2 T 4 4 2 6 Lim T 2 3t 6 4 Find The Limit If It Ex 2 (29.74 KiB) Viewed 46 times
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6. Use the Intermediate Value Theorem to show that there is a solution of the given equation in the specified interval. (5) et = 3-2x
7--2 X x 9. Find the first and second derivatives of the function. f(x) = 3x - 5x³/ F(x)=3-3x3 -7 P"(x)=0 = = x ²5 10. Differentiate the function using the product or quotient rules. a) f(x) = (3x²-5x)e* f.9. F9 + f².g₁ (6x) (ex) (3²) (ex-) f *+eg (x²+x)(2x) (x²)(2x + ²) b) f(x)= x 21² +21² - 2x²³ 2²ex ex (5)
11. For what value of x does the graph of f(x) = e* -5x have a horizontal tangent? 12. Differentiate trigonometric functions. a) f(0) = e(cot8 - 0) 1+ secw 1-secw b) f(w) == (10)
13. Find the limit. sine 0+tano lim 0-0 14. Find an equation of the tangent line to the given curve at the specific 1+x f(x) = (0,-/-) 1+ e*
15. Find the derivative of the function using the Chain rule. a) f(u) = u³-1 8 u³+1 8 (4³-1) 1 = sin b) f(x) = cos(x fx 2 3u 3u²