How do you find derivative of y=ln(5x^9+7x)^7/5 or ln(5 to the 9th power plus 7x)all to the 7/5 power. I guess i need help with the steps of quotient and chain rules

Q: 2. Find the derivative of y = 2 1 1- x² + arcsin x 2

A: As per our guidelines, I can answer only one question and maximum three subparts of a question.…

Q: 4. By implicit differentiation , find the 1st derivative of x3 + y3 + 6xy = 0

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Q: kel derivative

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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: We cannot find the derivative of composed functions. We can however, using some algebra, find the…

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

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Q: What is the derivative of 2(x)ln(x)+x

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Q: Compute the derivative of the function y = 7 sin¬'(x) at the point x = (Use symbolic notation and…

A: A detailed solution is given below

Q: Find the first derivative of: y=〖sec〗^4 x-〖tan〗^4 x y=xArcsinx + √(1-x^2 )

A: We have to find the derivative of the given function.

Q: Find the first derivative of f(x) = e3r

A: To find the first derivative of fx=x3e3x. Solution: Quotient rule of derivative states that:…

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

A: The equation is given by

Q: ind the derivative of the y= ((2x) +3)

A: To find the derivative of, y=2x+3

Q: Find the derivative of y = tan 3x

A: Given function is: y = tan 3x We have to find the derivative of y with respect to x.

Q: find the derivative oof 1/x^3 + 3* 1/square root of x

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Q: ind the derivative of y=(x-1)(2x-x2)1/2 - arccos(x-1)

A: Given function: y=x-12x-x2-arccosx-1

Q: y у %3 4a/сosh a

A: Consider the given hyperbolic function y=4acosha The given function can be written as, y=4acosha=4a…

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

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Q: if the derivative of x2sinx+2xcosx-sinx  is (Ax2+B)(cos(C(x/2))). FInd the value of A, B, and C.

A: Given: x2sinx+2xcosx-sinx Differentiate the equation.…

Q: Find the derivative of y = tan 1 1-x -1 + sec Va +1

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Q: e3x _e-3x Y = e3x +e-3x]

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Q: How do you use the chain rule to find the derivative of 10 to the power of 2 times the square root…

A: We have to find the derivative of the function rt=102t using the chain rule. The derivative of a…

Q: 5. х: t2-1 :-1

A: second differentiation of parametric equation is

Q: Find the derivative of y with respect to x Y=5 ln (3 ln x)

A: Given, y=5 ln (3 ln x) We have to find derivative of y with respect to x.

Q: 25

A: Given function is x2+y22=254xy2 We have, some rule of differentiation, ddxxn=nxn-1 ddxuv=vddxu+uddxv…

Q: How do you use implicit differentiation to solve:  tanxy=x+y   at point (0,0)

A: The given expression is,

Q: find the second derivative and simplify the final result. 3. 4ln(Arctan x) = 1-y

A: The given function is 4lntan-1x=1-y It can be written as  y=1-4lntan-1x Differentiating with respect…

Q: Find the derivative y=ln(2x^3+6x-1)^3

A: y=ln2x3+6x-13 take derivative y'=ddxln2x3+6x-13 y'=12x3+6x-13ddx2x3+6x-13

Q: 2. Find the derivative of y = tan°(/1 – x²). Make any obvious simplifications. %3D

A: Using chain rule of differentiation.

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

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Q: Compute the derivative of the function y = 6 cos- (4x) at the point x = (Use symbolic notation and…

A: Solution ) y = 6 cos-14x Differentiate with respect to x  y' = 6 d/dx (cos-14x) [ we know that  d/dx…

Q: Find the first derivative in the form of dy/dx  y=(3x-2) sq rt(3x-2) please show all your work so…

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Q: What is the denvative of: d√√√x²-2x do sin x

A: Topic = Derivative Your answer is correct, but it can be simplified further.

Q: How do you prove the general power rule of derivatives using the inverse property (x^n=e^(nlnx))?

A: The general power rule:

Q: Find the derivative of f(x) = ln(2x^3 + x).

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

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Q: Find the derivative of y = cos-(8x'). (Use symbolic notation and fractions where needed.) y = | help…

A: Given:          y=cos-1(8x9)

Q: Find the derivative of y = cosh(11x) for x > . (Use symbolic notation and fractions where needed.)…

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Q: Find the first derivative of y = (In x)"

A: The differentiation of nested form of function is calculated using the chain rule of…

Q: give a problem and solution for differentiation rule of exponential and logarithmic functions in…

A: Given query is to give an example of exponential and logarithmic differentiation.

Q: derivative

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Q: Find the derivative. Simplify where possible. y  = x tanh-1 x   + In √ (1- x2)

A: We have given that, y=xtanh-1x+ln1-x2 We have to find the Derivative of this function i.e. y' As we…

Q: second order derivative of (5 sin 3x+cos^2 (3x )) is *

A: The function: y=5 sin3x+cos23x

Q: (2+x)2, how do I find the derivative?

A: The given function is  y = f(x) = (2 +x)2

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: First Derivative of: (tan3(2x)) / x1/5 + ln(7x+4)

A: (U/V)' = (VU' - UV')/V^2

Q: 5. Find the 25" derivative of y= In x.

A: We have to find the 25th derivative of y=ln(x)