3. Find the derivative of the following functions using the definition of the sine and cosine function. (a) f(x) = sin(4x +7) (b) f(x) = sinx – cosx cosx (c) f(x) = sinx

Q: 4. Find the derivative of the function f(x) = (sin x)c0s ". COS x

A:

Q: Find derivative of the following functions 1. y= sin^-1 2x^2 2. y= tan^-1 2x^2/5

A: Given 1. y=sin-1(2x2)2. y=tan-1(2x25)

Q: Find a function with derivative equal to g(x) = cos(x)e³sin(x)

A: To find a function with derivative equal to gx=cosx e5 sinx

Q: 1) Find the derivative of the given function with respects to e 3 tan 6 In 3 y

A:

Q: Find the derivative of 2 cos x 1. f(x) x+1

A: As we know that: The Power rule: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2 Given: fx=2cosxx+1

Q: Find the derivative of the function. f(x) = sin(x) cos(5 – x²) f'(x) =

A:

Q: 2х- 3 3. У3 5x +1

A:

Q: 3. Find derivative of the function y = x tan-(4x)

A: we have to find the derivative of y

Q: 5. By calculating a derivative, determine whether the following statement is true (or false): et et…

A:

Q: 2. Find the derivative of the following functions: (5x+ 1)'(x + 3)5 cos°(x) sin°(x) (a.) f(x) = .…

A: Given f(x)=5x+77x2+35cos2x sin3x3   As per our guidelines we are supposed to answer only first…

Q: 1 Find the derivative of g(x)= (x)sec(x) + a+ x* + cos - sin(x)

A:

Q: 4. Find the derivative of the following function. 1+ sin x 8(x) = 1+ cos x

A:

Q: 10. Determine the derivative of the function with respect to x. y = sin?(x)

A:

Q: 4. Find the derivative of g(x) = e5" sin(-x). Do not simplify.

A:

Q: Find the derivative of the function. f(x) = 6√x + 5 cos x

A: To find the derivative of the given function f(x).

Q: 1. Find the second derivative of the following functions with respect to x. y = 3x2 + 5x - 1   2.…

A:

Q: Find the derivative of the function .

A: Given a function f(x)=2x3+3 cos x f(x)=2(x)1/3+3 cos x      =2x-1/3+3 cos x We, use the following…

Q: 1. Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: Part 1 : Slope of tangent at (π2, π4) is given by dydx(π2, π4) ⇒y·sin 8x=x·cos 2x⇒ddx(y·sin…

Q: Find the derivatives of the functions y = x2 sin4 x + x cos-2 x

A:

Q: Determine the derivative of g ( x ) = 3 e-4 x*sin(7 x) with respect to x. = (x), 6

A: As per the guidelines, we need to author the 1st question.  We know that product rule is given by…

Q: Find the derivative of the following function at the indicated point from the graph of y=​f(x)…

A: Find the derivative at the given point

Q: Find Find the second derivative of the given function. 4 y = 5 cos(x) + - 36 x+ 6

A:

Q: 3. Find the derivative y(15)of the function y = (x2 + x)sin(2x).

A:

Q: 1 6. Find the derivative of f(x)= 1 at the point 8, Vx+1

A: Given

Q: 4. Find the derivative of the following function. 1+ sinx g(x) = - V1+ cos x

A: Given: gx=1+sinx1+cosx for finding derivative of given function, first we simplify given expression…

Q: Find the derivative of the function.

A:

Q: Find the derivative of the function: f(x) = [sin(4x + x)] [cos(x4 + 4)] f(x) = e3x²+*(cscx + secx)2…

A:

Q: Find the derivative of the function y = x2 Sin x - 2 Cos x.

A: y=x2sinx-2cosx

Q: Find the derivative of the following function. X- y = 3 sin x -3 dx X- sin x =

A:

Q: f(x) = x2 -1

A:

Q: 7. Consider the function f(x) X - 3 a. Using the definition of the derivative at a point, calculate…

A: Given : f(x) = x / x - 3   (1) f' (2)  (2) tangent line when x = 2 (3) normal line when x = 2

Q: 17) Find the derivative of y = x? COs x - 2

A:

Q: 1. Find the derivative the following functions y=-10x+ cosx y=x'sinx

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: x² sin(x) 8. k(x) = cos( x

A: The given function is kx=x2sinxcosx

Q: Find the derivative of h(x) = (1+ cos x)*

A:

Q: Determine the 8th derivative of y with respect to x of the function : f(x) = 1 / 1 + x2 and find the…

A:

Q: Q1/ Choose the appropriate function for this derivative sin x cos x V1+ cosx 2/1+ cos x

A:

Q: (x² +SJ° In 14-X つ. dr

A:

Q: 1) Find the derivative of the given function with respects to 0 y = 3lan In 3

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 3. Find the derivative of (a) f(x) = (x + 2 sin x) (1 – 6 cos x), and (b) g(x) = sin x/ 7x

A:

Q: 2. Determine the 8th derivative of y with respect to x of the function 1 f(x) = 1+x2 and find the…

A: Taylor series

Q: 3. Find the derivative of y with respect to the appropriate variable. x y= 6sinh :

A: Solution: y=6sinhx3

Q: f(x) = (x + 6 sin x) (1 – 5 cos x -

A: To find the derivative of:f(x)=x+6sinx1-5cosx

Q: 3. Find the derivative of the following function. 8(x) = cos"(vx)

A:

Q: 1+sin 2x 1) Find the derivative of f(x) = 2 cos x

A: To find The derivative of given f(x)

Q: 1) Find the derivative of the function: (3х — 1)3 Vx* — 1 f(x) = cos² x

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 1. Find the derivative of f(x) = x² – 3x. Use the result to find the slope of the tangent line to…

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: 11 with respect to x is The derivative of y = cos - 1

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.