Question

Variables a= 8 b= c= 10 d= Remember to substitute the values of a, b, c, and d into the equations below. Question 1: Differentiate a) $y = ax^b$ b) $y = bx^c - dx^a$ c) $y = x^a \sqrt{x^d}$ d) $y = c(x + b)^a$ e) $y = \frac{a}{(x - b)^c}$ f) $y = x^d \ln(x^a)$ g) $y = x^b \sin(cx)$ h) $y = x \cos(x^d)$ i) $y = \frac{ax}{e^{xc}}$ Question 2: Find the second derivative for questions 1(a), (b), (c), (d) and (e). Question 3: Find $\frac{dy}{dx}$ given $x = d\sin(at)$ and $y = 1 - b\cos(ct)$

          Variables
a= 8
b=
c= 10
d=
Remember to substitute the values of a, b, c, and d into the equations
below.
Question 1: Differentiate
a) $y = ax^b$
b) $y = bx^c - dx^a$
c) $y = x^a \sqrt{x^d}$
d) $y = c(x + b)^a$
e) $y = \frac{a}{(x - b)^c}$
f) $y = x^d \ln(x^a)$
g) $y = x^b \sin(cx)$
h) $y = x \cos(x^d)$
i) $y = \frac{ax}{e^{xc}}$
Question 2: Find the second derivative for questions 1(a), (b),
(c), (d) and (e).
Question 3: Find $\frac{dy}{dx}$ given $x = d\sin(at)$ and $y = 1 - b\cos(ct)$

Show more…

Variables
a= 8
b=
c= 10
d=
Remember to substitute the values of a, b, c, and d into the equations
below.
Question 1: Differentiate
a) y = ax^b
b) y = bx^c - dx^a
c) y = x^a √(x^d)
d) y = c(x + b)^a
e) y = (a)/((x - b)^c)
f) y = x^d ln(x^a)
g) y = x^b sin(cx)
h) y = x cos(x^d)
i) y = (ax)/(e^xc)
Question 2: Find the second derivative for questions 1(a), (b),
(c), (d) and (e).
Question 3: Find (dy)/(dx) given x = dsin(at) and y = 1 - bcos(ct)

Added by Carolyn S.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Vikash Ranjan

04/17/2021

Step 1

The power rule states that if we have a function of the form f(x) = x^n, then the derivative is given by f'(x) = nx^(n-1). Applying the power rule to y = ax^b, we get: y' = abx^(b-1) Show more…

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Texts: Assignment 3 Variables: a = 8 b = c = 10 d = Remember to substitute the values of a, b, c, and d into the equations below. Question 1: Differentiate a) y = ax^b b) y = bx^c - dx^a c) y = √(xa) d) y = c(x + b)^d e) y = x - bc f) y = x^d ln(x) g) y = x^b sin(cx) h) y = x cos(xa) i) y = Question 2: Find the second derivative for questions 1(a), (b), (c), (d), and (e). dr

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