Using logarithmic differentiation find the gradient of the tangent to the curve represented by the equation y = -at the point on the x2 + 2x + 1 curve where a = 0Hence, find the equation of the tangent to the curve at that point.

Q: g(x) = %3D I+3 32C

A: Derivatives

Q: 9 (y) = (y-4) (2y + y²)

A: Here is the solution:

Q: Describe the two methods that help to differentiate the equations implicitly, and find the…

A: The two methods that help to differentiate the equation implicitly and derivative…

Q: dy is: then Q36. If y=e dx log x a (c) e (d) none o: log + (a) e (b) 1+- x+a 1+ x² +a²

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Q: x + x dx x2

A:

Q: Find the derivative of the function.

A: We have a nested form of functions . We have to use chain rule of differentiation to find the…

Q: tan x Find the derivative of y = 1+sin x

A:

Q: Find the derivative of the function. h(x) = x² arctan(9x) h'(x) =

A: Here we will find the derivative of the given function by using the product rule,

Q: Find the derivative of the function

A: Given:y=arctanx+x1+x2Differentiate formula:ddxarc tanx=11+x2ddxuv=vdudx-udvdxv2

Q: The critical points of the function f(x) 36z2 - 2x occur at 2- 0, r +4.00 0, z +2.40 %3D I0, z -…

A: We have to find the critical points of the function f(x)=36x2-2x4.

Q: 2 Find the derivative of the algebraic function f(v)= v2- v+8 O 112+6v+2v² (v+8)2 O 112- 32v-2v²…

A:

Q: y = In2x* - 2x² -12x - 2,

A: