By computing the first few derivatives and looking for a pattern, find d999 (cosx). dx 999

Q: cos ( bVx3 f(x) = a ln sin(cx²)

A:

Q: Apply the rules of derivatives to find the ? ′ (?) for ?(?) = sec2 ? ∙ tan3 ?.   Please show all…

A:

Q: Find the following derivatives: 1) y = sincos2x?

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find dy/dx by implicit differentiation for the following.

A: Given, 10x+6y=8y To find dydx.

Q: In the given question, use implicit differentiation to find dy/dx. exy - x2 - y2 =10

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Use the quotient rule to find the derivative of the following. 2x + 1 y = 2 +7 dy dx %3D

A:

Q: Use implicit differentiation to find dy given y³2 – log(x²y¹) = cos¯¹(1). dx

A:

Q: Find the given derivative. 1 D 2x 3 DX 2x 5

A:

Q: Use the Power Rule to compute the derivative.

A: The power rule of derivative is given by: ddxxn=nxn-1

Q: Find the derivative: s(t) = cos()

A:

Q: Use implicit differentiation to find ?? dy/dx

A:

Q: Find the following higher-order derivatives.

A: Given             dndxn(2x)

Q: Find the following higher-order derivatives.

A:

Q: Q6/Find the following of derivatives (1) sec(sin2x) (2) (10e*) (3)In(x + x* + 1)

A: We need to find the derivative of given functions. For this we can proceed as following:

Q: Find the derivatives of the functions in Exercis

A: The rate of change in the value of the dependent variable with respect to the change in the value of…

Q: Find the given derivative by finding the first few derivatives and observing the pattern that…

A: Find the given derivative by finding the first few derivatives and observing the pattern that…

Q: Find the derivative d/dx of the following x² +1 x + 1

A:

Q: Compute the derivatives. d/dx (5ex)

A: The function is:        5ex Find the derivative.

Q: Compute the following derivatives. Show in at least THREE steps how the chain rule or the outside-…

A:

Q: Find dy/dx by implicit differentiation for the following.  7x2 - 4y2 = 24

A:

Q: Find the derivatives of the functions r = 2θ√cos θ

A: Given: r=2 θ cosθ To determine: drdθ

Q: sin (væ In æ)

A: Given function is sinxln x

Q: Evaluate the following derivatives.

A: Given, ∫x2exsin3t dt We have to find ∫x2exsin3t dt ∫x2exsin3t dt=∫x2exsin2t sint dt ∫x2exsin3t…

Q: What is the derivative of cos2t

A: Formulas used

Q: Find the derivative of k(a)=sin^2a(cos^8a) k′(a)=

A:

Q: Find the derivative of each of the following a) f(x) = [1+cos (7x)]³ %3D

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: esin 2x [In (cos 2x)]?

A: Given: fx=esin2xlncos2x2   As we know that; The Quotient rule: fg'=f'·g-g'·fg2 The Chain rule:…

Q: Find dy/dx by implicit differentiation for the following.

A: The given function is 4x-8y=6y32

Q: Which is the derivative (dy/dx) of y=sin-1 tanx?

A: Formula used   (fog)'(x) = f'(g(x))*g'(x)

Q: f) Apply the Chain Rule in order to calculate the following derivatives: -(sin(a² + 1)) =

A:

Q: Find the first derivative dy/dx of the following. Simplify.

A: Given:                     ex+ey=exy   To determine:                First derivative of the given…

Q: Find the indicated derivative. dp for p = 1 - () 4q dp P. %3D

A:

Q: y у %3D sin(3x + 2)

A: Use rules of differentiation

Q: Find the derivative of y=arcsinx with respect to x || 3x? b. V1-x 1 3x2 1 а. С. d. .6

A:

Q: Find the indicated derivatives: 1. of y = sin(3x + 4y) dx

A: The given function is: y=sin(3x+4y) The derivative of the sine function is: ddxsin(x)=cos(x) From…

Q: Find the derivatives of the functions s = cos4 (1 - 2t)

A: Given: st=cos41-2t we know that ddxxn=nxn-1…

Q: find the second derivative with respect of ds s+a

A: Please see the solution below.

Q: Use the quotient rule and the derivatives of the sine and cosine functions to prove that d/dx (cot…

A: we have to find the derivative of the given  expression by using quotient rule

Q: Find the derivatives of the functions r = sin (θ2) cos (2θ)

A:

Q: Find the derivatives of the following. 1. y= sin (e**+ 2x +5)

A:

Q: Find dy/dx by implicit differentiation for the following.:8x2 - 10xy + 3y2 = 26

A: We have to find dydx by implicit differentiation for the equation: 8x2-10xy+3y2=26 We know the…

Q: Use implicit differentiation to find dx for the following equation. 4x +7y=11xy dy

A: We have to find the derivative of given equation using implicit differentiation.

Q: Find the derivative(dy/dx) of following function f(x) = Sin(2x) (x+1)? %3D

A: It is derivative problem.

Q: Compute the derivative d/dx of the following functions: f(x) = x cos^2(4x)

A: The given function is: fx=xcos24x   As we know that; The Product rule: f·g'=f'·g+f·g' The Chain…

Q: Find dy/dx by implicit differentiation for the following.:7x2 - 4y2 = 24

A: to find: dydx given: 7x2-4y2=24

Q: • S arcsin(/x) dx

A:

Q: Find the first derivative dy/dx of the following. Simplify. 1– x3 y = In 1+ x3

A: To Find the first derivative dydx of the function and simplify Given the function y = ln 1-x31+x3 y…

Q: Find the derivative of y Cos3 3x+8 (x). %3D Provide your answer below: y = D

A:

Q: Find the following derivative: dx sin tdt O A. - sinx O B. sin x О с. 1 cos X O D. 3 cos X

A:

Q: By computing the first few derivatives and looking for a pattern, find g978 (sin x). dx 978 d978…

A: