 42.Q1: Differentiate: y = x3/4
 42.Q2: Find : y = ln x
 42.Q3: Find dy/dx: y = (5x 7)6
 42.Q4: Find: (sin 2x)
 42.Q5: Differentiate: v = cos3 t
 42.Q6: Differentiate: L = m2 + 5m + 11
 42.Q7: If dy/dx = cos x3 3x2, find y.
 42.Q8: In Figure 42b, if x = 2, ?.
 42.Q9: If u = v2/6, where u is in feet and v is in seconds, how fast is u ...
 42.Q10: If = e3x, then = A. e3x B. 3e3x C. 9e3x D. 3e2x E. 6ex
 42.1: For 120, differentiate and simplify. You may check your answer by c...
 42.2: For 120, differentiate and simplify. You may check your answer by c...
 42.3: For 120, differentiate and simplify. You may check your answer by c...
 42.4: For 120, differentiate and simplify. You may check your answer by c...
 42.5: For 120, differentiate and simplify. You may check your answer by c...
 42.6: For 120, differentiate and simplify. You may check your answer by c...
 42.7: For 120, differentiate and simplify. You may check your answer by c...
 42.8: For 120, differentiate and simplify. You may check your answer by c...
 42.9: For 120, differentiate and simplify. You may check your answer by c...
 42.10: For 120, differentiate and simplify. You may check your answer by c...
 42.11: For 120, differentiate and simplify. You may check your answer by c...
 42.12: For 120, differentiate and simplify. You may check your answer by c...
 42.13: For 120, differentiate and simplify. You may check your answer by c...
 42.14: For 120, differentiate and simplify. You may check your answer by c...
 42.15: For 120, differentiate and simplify. You may check your answer by c...
 42.16: For 120, differentiate and simplify. You may check your answer by c...
 42.17: For 120, differentiate and simplify. You may check your answer by c...
 42.18: For 120, differentiate and simplify. You may check your answer by c...
 42.19: For 120, differentiate and simplify. You may check your answer by c...
 42.20: For 120, differentiate and simplify. You may check your answer by c...
 42.21: Product of Three Functions Problem: Prove that if y = uvw, where u,...
 42.22: Product of n Functions Conjecture Problem: Make a conjecture about ...
 42.23: For 2326, differentiate and simplify.z = x5 cos6 x sin 7x
 42.24: For 2326, differentiate and simplify. y = 4x6 sin3 x cos 5x
 42.25: For 2326, differentiate and simplify.y = x4 (ln x)5 sin x cos 2x
 42.26: For 2326, differentiate and simplify.u = x5e2x cos 2x sin 3x
 42.27: Bouncing Spring Problem: A weight is suspended on a spring above a ...
 42.28: Tacoma Narrows Bridge Problem: If a structure is shaken at its natu...
 42.29: Odd and Even Functions Derivative Problem: A function is called an ...
 42.30: Double Argument Properties Problem: Let f(x) = 2 sin x cos x and le...
 42.31: Derivative of a Power Induction Problem: Prove by mathematical indu...
 42.32: Derivative Two Ways Problem: You can differentiate the function y =...
 42.33: Confirmation of the Product Rule: Let f(x) = x3 sin x (Figure 42e)...
 42.34: Repeated Roots Problem: In this problem you will sketch the graph o...
 42.35: Pole Dance Problem: In a variation of a Filipino pole dance, two pa...
Solutions for Chapter 42: Derivative of a Product of Two Functions
Full solutions for Calculus: Concepts and Applications  2nd Edition
ISBN: 9781559536547
Solutions for Chapter 42: Derivative of a Product of Two Functions
Get Full SolutionsCalculus: Concepts and Applications was written by and is associated to the ISBN: 9781559536547. This textbook survival guide was created for the textbook: Calculus: Concepts and Applications, edition: 2. This expansive textbook survival guide covers the following chapters and their solutions. Since 45 problems in chapter 42: Derivative of a Product of Two Functions have been answered, more than 20845 students have viewed full stepbystep solutions from this chapter. Chapter 42: Derivative of a Product of Two Functions includes 45 full stepbystep solutions.

Data
Facts collected for statistical purposes (singular form is datum)

Difference of functions
(ƒ  g)(x) = ƒ(x)  g(x)

Direction vector for a line
A vector in the direction of a line in threedimensional space

Domain of a function
The set of all input values for a function

equation of a parabola
(x  h)2 = 4p(y  k) or (y  k)2 = 4p(x  h)

Equivalent arrows
Arrows that have the same magnitude and direction.

Factored form
The left side of u(v + w) = uv + uw.

Imaginary part of a complex number
See Complex number.

Inequality symbol or
<,>,<,>.

Leibniz notation
The notation dy/dx for the derivative of ƒ.

Logarithmic form
An equation written with logarithms instead of exponents

Magnitude of a real number
See Absolute value of a real number

nth root
See Principal nth root

Reference angle
See Reference triangle

Remainder polynomial
See Division algorithm for polynomials.

Standard form of a polar equation of a conic
r = ke 1 e cos ? or r = ke 1 e sin ? ,

Terminal point
See Arrow.

Tree diagram
A visualization of the Multiplication Principle of Probability.

Unit vector in the direction of a vector
A unit vector that has the same direction as the given vector.

Vertex of a cone
See Right circular cone.