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 5.

Q: 3. Find the derivative of the following functions using the definition of the sine and cosine…

A:

Q: The second derivative of the given function is - 5 sin (2- 5x) -125 sin (2 - 5x) 125 sin (2 - 5x) O…

A:

Q: Find the derivative of the function below. (Do not simplify your answers, and SHOW ALL STEPS) f(x) =…

A: Use the concept of derivative of the form f(x) = uv

Q: 3. Find the derivative of the following functions using the definition of the sine and cosine…

A:

Q: 6 with respect to x. Find the derivative of y = cos 6. with respect to x is The derivative of y =…

A:

Q: 1. Find the first derivative of y with respect to x (y') of the given function 1. x'y-xy? +x? +y? =…

A: As per guidelines we have to solve one question

Q: 20. Find the derivative of the following functions (do not use exponential definitions of hyperbolic…

A:

Q: 3. (a) What is the derivative of sin(g(z))7 (b) What is the derivative of sin(2r + T)?

A: We have to find

Q: Q4 / Find the value of derivative below * If y = x/1 - x² + Cos-1(x) then y'at | x = is

A: Given,y=x1-x2+cos-1(x) dydx=dx1-x2+cos-1(x)dx=dx1-x2dx+d(cos-1(x))dx

Q: Зах + b Find the derivative of h(x) Assume a, b and c are | 5c constants. h'(x) = %3D

A: The objective is to find the derivative.

Q: 4. Find the first derivative of the given function using the Rules of Differentiation: a. h(x) = X-…

A:

Q: Find the derivative of the following functions: (i)     f(x) = (cos(x^3))^4

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

Q: (a) f(x) = 2x7 – 3x4 – 41x? – 73 (b) f(x) = x cos x

A:

Q: Find the derivative of the following with complete solution A. y = sin x - 1 / cos x B. y = x^2 sin…

A: To Find the derivative of the following with complete solution

Q: Consider the derivative function 8³ –4/E k (x) = 3 sin æ + What is the general antiderivative of k?…

A:

Q: C. Find the derivative of each of the following functions using Differentiations Rule/Chain Rule. 1.…

A:

Q: 3. Find the derivatives of the following functions. Do not simplify your answer! x² + 3 (a) dx VTx…

A:

Q: e the chain rule to find and simplify the derivative of the function g(x) = cos(sin1(3x)).

A: Solution:- Differentiate with respect to x with the help of chain rule.

Q: H(x)= x^5 arctan 5x find the derivative of the function

A: The given function is,

Q: The derivative of the function y = x(tan-(3x))? is: Lan"as (1n)tan a the above the above tan"oa +…

A: This question is based on chain rule differentiation.

Q: cos (2x) Find the derivative of cos(e2«)

A: Given that: ecos2xcos(e2x)

Q: 6) Find the derivative of the following functions 6.1) a(x) = x²(sin x)(cot x)e" 6.2) b(x) = ()-4

A: To find the derivative of the following functionsFormula:ddx(sin x)=cos xddx(cot x)=-csc2…

Q: Q 7. Is cos x| differentiable in (-oo, oo). If so find its derivative. If not, is it differentiable…

A: Let us begin with plotting the graph for |cos x|.

Q: 7T Find the derivative of f(x) = 2 cos (x) +9 sin (x) at the point z = Provide your answer below:

A: Given that        f(x) = 2 cos(x)+ 9sin(x) Here we have to find the derivative of f(x) at the point…

Q: 1) tan x Find the derivative of y= = e

A:

Q: 1. a) Find the derivative of the function y = sinx + cosx. %3D b) What is the value of the…

A:

Q: 4. Find the derivatives of the following functions: a) y² sin x – tan (x + y) + 3x = 0 b) y = x Inx

A:

Q: A2) Find the derivative of the following functions 2² + 4 (a). f(x) = 1² – 4 (b). f(x) = 2 tan '(x)…

A:

Q: 1. Find the derivative of the following functions. (find y') a. у %3DIn(cos(20)) b. cos(xy) = x - y…

A: Since you have posted a question with multiple subparts, we will solve first three subparts for you.…

Q: Can you help me step by step with this problem?

A: Firstly, we set cscx+cotx=u, then y=u^-1 and then we find derivatives  dy/du and du/dx

Q: 2. y = a Cos-1 (1 -2) + V2аx — х2 a

A:

Q: A2) Find the derivative of the following functions: x2 + 2 (a). f(x) x2 – 2 (b). f(x) = 2 tan-1(x) –…

A:

Q: 5. Find the second derivatives. f(x) = x cos(x) and g(x) =

A:

Q: Given the function y = x(x + 1)3. Determine the value of its second derivative at x = 1.

A: Given the function  y=xx+13. We have to find the value of its second derivative at x=1.

Q: 7. Find the second derivative given g(x) = sin x² A. 2(cos x? – x sin x?) B. 2(cos x? – 2x² sin x²)…

A:

Q: x' Find the derivative of h(x) sin x 4x2+2

A:

Q: A) Find the derivative for the following functions: 1) y = log(x sinx) 2) y = tan(x') 3) y = (x sinx…

A: (A) (1) Differentiate y w.r.t x using the quotient rule for differentiation.…

Q: 3. Determine the derivative of each of the following. a) y = e-*sinx b) y = 2* + 3* c) f(x) = xcos2x…

A:

Q: A2) Find the derivative of the following functions: x² + 4 (a). f(x) x2 - 4 (b). f(x) = 2 tan-'(x) –…

A:

Q: Find the indicated derivative. Find y(4) if y = -6 cos x. O y4) = -6 sin x O y(4) = 6 cos x O y4) =…

A: Given:  y = - 6 cos x

Q: 1 y 4 18) Find the first derivative of y = -sin? x

A:

Q: 2. a) Find f (x) if the function is f(x) = + sinx cosx b) What is the value of the derivative at? c)…

A: Given, f(x)= 1/sin(x) + 1/cos(x)

Q: 3 5.) y = ; x+5

A: Given:- y = 3/(x+5) y = 3(x+5)-1 Using Formula : [f(x)g(x)]' = f(x)g(x)' + g(x)f(x)' Now, y' =…

Q: What is the derivative of y = 8 cos x? -16 sin x -8 sin x 8 sin x 16 sin x

A: In this question, we need to find the derivative.

Q: (c) Use fzero to find when the derivative of 5. S(x) = 9. cos(x) sin(x) is 0 in the interval (0,…

A: NOTE: As per the guidelines we are supposed to answer only one question because all parts or…

Q: Derivative OF the FollOwing 1.y sin x)* 2. y-Tex te* 3. d dx ( scextanx t in csccxttanx)

A:

Q: (x²+1)* Find the derivative with respect to x: y = In /1-x

A: The given function is: y=lnx2+151-x

Q: 5cos³ (x) Find the derivative of y + tan²(3x² – 4x) – csc(v2x – 1 )and express your sin(3–2x) answer…

A:

Q: Can you help me step by step?

A: Given function is

Q: What is the derivative of f(x)=−3cos(x)+4sin(x) at the point x=π/3? Enter an exact answer.

A: Given,  f(x)=−3cos(x)+4sin(x)   We have to find the derivative of fx  at  x = π3