Find the derivative for each of the following inverse trig. functions. (a) dª arctan(7x) = dr (b) arcsin (23) n(x³). (2³ dr AY

Q: Find the derivative of the function. 1 In(1 + 49x 14 y = x arctan 7x dy

A: Given y = xtan-1(7x) -114ln(1+49x2)dydx = d xtan-1(7x) -114ln(1+49x2)dxdydx =…

Q: Carry out the following steps. a. Use implicit differentiation to find dy/dx .b. Find the slope of…

A: a. Use implicit differentiation to find dydx. ddxx-2y=ddx012x-2×12ydydx=012x=1ydydxdydx=y2xdydx=xy2x

Q: Carry out the following steps. a. Use implicit differentiation to find dy/dx .b. Find the slope of…

A: Given:             sin y=5x4-5 ; 1, π Find dydx using implicit differentiation            ddxsin…

Q: Solve for the following implicit derivative: d²y si sen(y) = ycos(2x) dx?

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

Q: y = 5 tan-1(10x® + 5x°) [log.(x10 + 3x7)]

A: Topic = Derivative

Q: 1. y=(sin ¹x² + X 1+tan x

A:

Q: Find the following derivative. (4* + 8) In x) dx

A:

Q: Find the derivative of each of the following functions:-- log₂ x 2. y= X

A:

Q: Find the anti derivative of the following: (√x/2 + 2/√x)dx

A: