(b) Hint: sin(a + b) = sin(a) cos(b) + sin(b) cos(a) f (x) = sin(x) %3|

Q: y = sec? x tan x

A: Consider the given function: Here the objective is to find the derivative of a given function.

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

A:

Q: Find the derivative of (b) f(x) = 2 tan-1(x) – 7x

A: Givenf(x)= 2 tan-1(x)-7x

Q: Find the derivative f(x)= (sin h^-1

A:

Q: Find the 28th derivative of the function f(x)= cos(x). The answer is function _____

A: The first derivative of sin(x) is cos(x). And the first derivative of cos(x)=-sin(x). Hence, second…

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: Determine Step 3 using 4-Step Rule in finding the derivative of  y=2sin(x)cos(x).

A: Introduction: The four-step method to find derivatives is actually determining the derivative of a…

Q: 3- Find the derivative of sinx +x /2+cos x.

A: The given function is fx=sinx+x2+cosx. The formula for differentiation for the sum of functions is…

Q: Find the second derivative of the function 2 f(x) = sin (3x). Show your work.

A:

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

A: we have to find the derivative of y

Q: Find the second derivative of the function.

A: Given: fx=x cosx Now to find the derivative of the given function, Differentiate given function with…

Q: What is the derivative of x 3 sin(x)? Select one: (sin(x) + 3x cos(x)) 2 Зх 3 + cos(x) 2 Зх 3 2 O…

A: Derivative of the function

Q: 1. Calculate the derivative of f (x) = (sin (x) +2)®5 %3| showing all your work. 2. Calculate the…

A:

Q: Use the h --> 0 definition of the derivative for each function f and value x=c for  f(x)= sin x,  x…

A:

Q: Find the derivative f(x) = [sin(4* + x)][cos(x* + 4) %3D

A:

Q: using the definition of derivative to find f'(x) for the function:f(x)=4/x. How do I solve this?

A: Given problem is to find the derivative of f(x) = 4/x

Q: Find the derivative of f(x) with respect to x ( 2. f(x) = x² sinx + 2x cos x - 2 sin x

A:

Q: How do you find the derivative of (tan(x)-4)/sec(x)?

A: Use the quotient rule to find the derivative of (tan(x) – 4)/sec(x) as follows.

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: f (x) = cos-(sin(x² + 3х))

A:

Q: f(x) = -3 sin(x) cos(x)

A:

Q: Find the derivative of the function. h(x) CoS x 6. %3D 1+ sin x sin x -61 coSX --6 cosx (1+ sin x)6…

A:

Q: Sin X I+ COS f' (x) =>

A:

Q: How do you find the derivative of f(x)= sec(x)tan(x)?

A: Some properties of derivatives:Following are some of general derivatives and derivatives of…

Q: -cos^3(x^3)=-3y^2 Find the derivative

A:

Q: Find the derivative y = (2 – x²) cos x + 2x · sinx 2 sin x – sin x (2 – x²) 2 cos x – sin x (2 – x²)…

A: Differentiate wrt x

Q: 3. Give the definition of a derivative of a function f of one variable at a point xo. /2 Find the…

A:

Q: How do you find the derivative of the quotient of two functionsthat are differentiable at a point?

A: Given: Let f and g be two differentiable function at point x.

Q: What is the derivative of 2x cos x ? 2 cos x - 2x sin x 2 cos x+ 2x sin x -2 sin x 2 sin x 2x-sin x

A:

Q: sin x.cos x- 8- Find y' for y = In x 9- Use the definition of differentiation to find the first…

A: Given  y=sin x cos x2ln x and f(x)=3x2 We need to differentiate these functions wrt x. This can be…

Q: how to find the derivative of 1-sec x

A:

Q: Find the 31th derivative of the function f(x) = cos(x). The answer is function

A: f(x)=cos(x) f'(x)=-sin(x) f"(x)=-cos(x) f"'(x)=sin(x)

Q: How do you find the derivative of the product of two functionsthat are differentiable at a point?

A: Consider the two functions f(x) and g(x). f(x)·g(x)'=f'(x)g(x)+g'(x)f(x). Here f(x)·g(x)' represents…

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

A:

Q: Find the derivative of y 3 sin x +5 cos x A. 3 cos x +5 sin x C. 5 cos x +3 sin x B. 3 cos x-5 sin x…

A: Differentiate wrt x

Q: 5. Find the derivative of h(x) = cos(sin(cosx)).

A:

Q: find the derivative f(x) = sin (x^−3/e^-x )

A:

Q: Find the derivative of  f(x) = tan(cos(x^2))

A: f'(x) = d (tan(cos x2)dx  f'(x) = sec2(cos(x2))d cos x2dx               because   d (tan(x))dx =…

Q: Find the derivative of the trigonometric function: f (x) -3 cos x + x* sin x

A:

Q: 1+sin 2 x Find the derivative of f(x) 2 cos3 x

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: |sin x.cos x %3D 1+ 2.ln x

A:

Q: 2. Use the definition of the derivative to find the first and second derivatives of the function. 1…

A:

Q: The derivative of a function intervals is decreasing ? is given by f’ (x)=e^ sin x -cos x-1 for 0 <…

A: topic - decreasing intervals of a function f is decreasing on intervals where f'(x) is negative

Q: how do i find the derivative of this but not simplified  y= (x^2+x+6)(x^1/3-2x^1/2+1)

A: To determine the derivative of the function.

Q: what’s the derivative ? f(x)= ln(x^3 - 7x^2 + 1)

A: topic - derivative of a function

Q: How are the derivatives of sin-1 x and cos-1 x related?

A: Given functions are sin-1x and cos-1x

Q: What is the derivative of the function h(x) = ((4x^2-4)/(cos(x)))^8

A: We have to find the derivative of ((4x^2-4)/(cos(x)))^8 = 4^8(x^2-1) sec^8(x)= 65536(x^2-1)sec^8(x)