Find the Derivative of the given function. Use the quotient rule to differentiate the following function: 9/7 - 20 f(z) = 4VE +8 f'(z) =[ HINT: Try to simplify the derivative function as it will be easier to enter.

Q: Calculate the derivative of the following functions.

A: y=tane3x

Q: Find the 4th-order derivative of the function y=xsinhx.

A:

Q: Find the derivative of the function h(w), below. It may be to your advantage to simplify before…

A: Differentiating using UV formula.

Q: find the derivative of y with respect to the givenindependent variable.69. y = 5^sqrt(s) 70. y =…

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

Q: Calculate the derivative with respect to x of the other variable appearing in the equation. √(x+s) =…

A: Given equation is x+s=1x+1s Using the implicit differentiation with respect to x: dx+sdx=d1x+1sdx…

Q: find the derivative of y with respect to the givenindependent variable. y = t1-e

A: In this equation the independent variable is t So we will differentiate with respect to t

Q: Find the derivative of each function at the specified value of x.

A: We have to find the derivative of the function at the given value of x: gx=ex sinπx, when x=0. We…

Q: (x-y) atfy (1, 1) a+y

A:

Q: Find the derivative of the function below. F(x) = arctan e a*) f'(x) =

A:

Q: Find the derivative of the function. F(x) = et dt

A: The function is given as F(x)=∫xx2et4 dt. The Leibnitz rule of differentiation under the integral…

Q: Let y = 6Vx. (a) Find using the derivative definition. (b) How fast is y changing when x = 9? %3D…

A: Use the defination of derivative and find the dy/dx dy/dx at point x = 9 gives the slope of tangent…

Q: The nth derivative of y = Inx is given by %3D

A:

Q: Find the derivative of y with respect to X, t, or 0, as appropriate. Inx y=5

A: Given: y=ln xx5 So, the derivative of y with respect to x is: dydx=ddxln xx5 According to the…

Q: Find the derivative of f(x)=arctan(1/x) and simplify

A:

Q: Find the derivative of the function f(x) = coth−1(x2)

A:

Q: find the derivative of y with respect to the givenindependent variable. y = xπ

A:

Q: 2. For y = 6x*V4 + x, find y(2).

A:

Q: Calculate the derivative.

A:

Q: Find the derivative with respect to t. y= csc-1(et)

A: Given:

Q: What is the derivative of y = ekx? For what values of k does this rule apply?

A: Given function is, y=ekx. The derivative of the given function is found as follows: dydx=ddxekx=kekx

Q: x'+e' = y

A: Given: ⇒x2+ey=y2

Q: Find the derivative of the following function with respect to x x = sinh2y

A:

Q: Approximate the derivative of y=x at x=1 by forming small changes.

A: SOLUTION:-

Q: find the derivative of y with respect to the givenindependent variable. y = 5√s

A: Given

Q: Find the derivative of y with respect to the independent variable. y = 3 cOS TTO

A:

Q: find the derivative of y with respect to the givenindependent variable.

A:

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. Inx y = x7

A:

Q: Find the derivative of f(x) = Vx2. What is f'(5), rounded to 3 decimal places?

A:

Q: f(x) = @tann + In (sec x) - ex at x = T

A: We know that general formula of derivatives is -  d(lnx)/dx = 1/x ; d(tanx)/dx= sec2x d(secx)/dx =…

Q: V 92) Inl Cosn

A: Derivative of hyperbolic function

Q: Find the derivative of y with respect to x.

A:

Q: Use the quotient rule to find the derivative of the function. X +4 y = X- 9 dy dx

A:

Q: Use the Chain Rule combined with other differentiation rules to find the derivative of the following…

A: Given: y=xx+15 To Find: The derivative of the given function

Q: Find the derivative of function defined as follows.

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

Q: Find the derivative of the function.

A:

Q: Use the derivative implicitly to find the slope of the tangent line at the point ,0), Suppose y is a…

A: Given- siny+cosx=12 To Find- The slope of the above expression at the given point π3,0.

Q: Find the derivative of the function using the Power Rule for Functions. y = (x² + 6)²(4x³ – 1)3 dy…

A: Y'= ?

Q: Use the definition to find the derivative of the function f(x) = Vx +1 and obtain the equation of…

A:

Q: Determine the derivative of the following functions. 1. y = 9x cos(2x + 3) 2. y = cos(x + y)

A: According to the question, we need to calculate the derivative of the given function.    Function 1:…

Q: e of the derivati

A: It is given that ,  x j(x) j'(x) k(x) k'(x) -1 3 -4 5 -6 a) h(x)=2j(x)k(x)find h'(-1)=? b)…

Q: The 60th derivative of x with respect to y of y = x^60 is 60!x

A:

Q: f(x) = cos vx

A: The derivative is defined as f'(x)=limh→0f(x+h)-f(x)h.

Q: Calculate the derivative of the following: y = Vx + 4

A:

Q: calculate the derivative with respect to x.

A:

Q: Find the derivative of g(x) = fecost dt.

A:

Q: Find the derivative of y with respect to t. y = 5sin (4t)

A:

Q: Find the derivative.

A: Given,

Q: Find the derivative of the function using the definition of derivative. g(t) = Vt %3D

A: Here, the given function is g(t)=5t. We need to find the derivative of the function g(t), using the…

Q: Find the first derivative of the function below: f(#) = cosh(cot(z² – 2x – 7)) %3D

A: