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Differentiate the following expressions with respect to x: (i) y= (2x³-4) X+1 y = x-1 (ii) (iv) f(x)=(x³-3x)(2x²+3x+5) x²+2x y = x 3-x²-2x (v) y= x²-1 y y= √√x(√x+3) Complete Table 2.5 and then, find their derivatives. Table 2.5 (all) y = f(g(x)) (i) y= (6x-5)4 (ii) 1 y= (ii) y=√x²-1 u = g(x) y = f(u) Ic. (iv) y = csc³ x (v) y= 2 Find the derivatives for the following functions: (i) y² = x³ fir 1-xy=x-y y = x² + y² = 2-4x+6y+9 -2 = x²y + y²x ✓ y = and x = t2+1 (vi) x = 2t³ and y = ++++ t3-1 • 3 Evaluate the derivative of f(x) = x3-4 at (-1,-) Differentiation of Trigonometric, Hyperbolic, Logarithmic and Exponential Functions Find the derivatives for the following expressions: (i) Prove that derivative of cot(e) (ii) y = cos(x³+2x-2) is csc² y = x sinx (iv) y = In[sin x] | y= [sinh(x2 – 3) (vi) y = In(cosh x) (vii) y = x sinh x – cosh x (viii) y=In tanh - (ix) y = esinhx (x) for 1(x) = x² tan f(x)=37-sec³ (2x). at (0,36) (xi) f(t) = ecost 2 1-3

Differentiate the following expressions with respect to x: (i) y= (2x³-4) X+1 y = x-1 (ii) (iv) f(x)=(x³-3x)(2x²+3x+5) x²+2x y = x 3-x²-2x (v) y= x²-1 y y= √√x(√x+3) Complete Table 2.5 and then, find their derivatives. Table 2.5 (all) y = f(g(x)) (i) y= (6x-5)4 (ii) 1 y= (ii) y=√x²-1 u = g(x) y = f(u) Ic. (iv) y = csc³ x (v) y= 2 Find the derivatives for the following functions: (i) y² = x³ fir 1-xy=x-y y = x² + y² = 2-4x+6y+9 -2 = x²y + y²x ✓ y = and x = t2+1 (vi) x = 2t³ and y = ++++ t3-1 • 3 Evaluate the derivative of f(x) = x3-4 at (-1,-) Differentiation of Trigonometric, Hyperbolic, Logarithmic and Exponential Functions Find the derivatives for the following expressions: (i) Prove that derivative of cot(e) (ii) y = cos(x³+2x-2) is csc² y = x sinx (iv) y = In[sin x] | y= [sinh(x2 – 3) (vi) y = In(cosh x) (vii) y = x sinh x – cosh x (viii) y=In tanh - (ix) y = esinhx (x) for 1(x) = x² tan f(x)=37-sec³ (2x). at (0,36) (xi) f(t) = ecost 2 1-3

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.2: Polynomial Functinos And Their Graphs
Problem 2E: Describe the end behavior of each polynomial. (a) y=x38x2+2x15 End behavior: y as x y as x (b)...
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Differentiate the following expressions with respect to x: (i) y= (2x³-4) X+1 y = x-1 (ii) (iv) f(x)=(x³-3x)(2x²+3x+5) x²+2x y = x 3-x²-2x (v) y= x²-1 y y= √√x(√x+3) Complete Table 2.5 and then, find their derivatives. Table 2.5 (all) y = f(g(x)) (i) y= (6x-5)4 (ii) 1 y= (ii) y=√x²-1 u = g(x) y = f(u)
Transcribed Image Text:Differentiate the following expressions with respect to x: (i) y= (2x³-4) X+1 y = x-1 (ii) (iv) f(x)=(x³-3x)(2x²+3x+5) x²+2x y = x 3-x²-2x (v) y= x²-1 y y= √√x(√x+3) Complete Table 2.5 and then, find their derivatives. Table 2.5 (all) y = f(g(x)) (i) y= (6x-5)4 (ii) 1 y= (ii) y=√x²-1 u = g(x) y = f(u)
Ic. (iv) y = csc³ x (v) y= 2 Find the derivatives for the following functions: (i) y² = x³ fir 1-xy=x-y y = x² + y² = 2-4x+6y+9 -2 = x²y + y²x ✓ y = and x = t2+1 (vi) x = 2t³ and y = ++++ t3-1 • 3 Evaluate the derivative of f(x) = x3-4 at (-1,-) Differentiation of Trigonometric, Hyperbolic, Logarithmic and Exponential Functions Find the derivatives for the following expressions: (i) Prove that derivative of cot(e) (ii) y = cos(x³+2x-2) is csc² y = x sinx (iv) y = In[sin x] | y= [sinh(x2 – 3) (vi) y = In(cosh x) (vii) y = x sinh x – cosh x (viii) y=In tanh - (ix) y = esinhx (x) for 1(x) = x² tan f(x)=37-sec³ (2x). at (0,36) (xi) f(t) = ecost 2 1-3
Transcribed Image Text:Ic. (iv) y = csc³ x (v) y= 2 Find the derivatives for the following functions: (i) y² = x³ fir 1-xy=x-y y = x² + y² = 2-4x+6y+9 -2 = x²y + y²x ✓ y = and x = t2+1 (vi) x = 2t³ and y = ++++ t3-1 • 3 Evaluate the derivative of f(x) = x3-4 at (-1,-) Differentiation of Trigonometric, Hyperbolic, Logarithmic and Exponential Functions Find the derivatives for the following expressions: (i) Prove that derivative of cot(e) (ii) y = cos(x³+2x-2) is csc² y = x sinx (iv) y = In[sin x] | y= [sinh(x2 – 3) (vi) y = In(cosh x) (vii) y = x sinh x – cosh x (viii) y=In tanh - (ix) y = esinhx (x) for 1(x) = x² tan f(x)=37-sec³ (2x). at (0,36) (xi) f(t) = ecost 2 1-3
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