Use Cauchy-Rieman equations 1 to Show that P (Z) and it's derivative *(Z) exist evergwhere and find f (Z) whens 3. f(Z) = Z

Q: xy2+5x2-3y2+45=0  (1,5)   Evaluate the derivative at the given function point.

A: We have to find derivative

Q: 10. g(x) = e*´ arcsin x

A: g(x)=ex2sin-1x We need to find the derivative of the given function.

Q: Which functions have a negative first derivative for all x?

A: Which functions have a negative first derivative for all x?

Q: Assume that w = f(s3 + t?) and f'(x) = ex. Find dw dw and at ds dw at dw

A:

Q: Use the table to determine the indicated derivative or state that the derivative cannot be…

A: Step 1: Given the table of values below: x−10−50510f(x)01234f′(x)152​21​72​0 Step 2: The derivative…

Q: Show that axlna is the derivative of ax (a>0).

A:

Q: 2. Find the derivative of each function a) f(x) = x³e/x et3+7 b) g(t) %3D t2 )듬x리 In(2x + 1) 8x+9 x3

A: According to our guidelines we can only answer 3 subparts of a question, rest you can repost

Q: How do you find the derivative of the quotient of two functionsthat are differentiable at a point?

A: Given: Let f and g be two differentiable function at point x.

Q: Find the derivative of the algebraic function, please no chain rule! Product/quotient ruels only!

A: Given,         We know that,

Q: On which open interval is the derivative positive/ negative .

A: Given:

Q: (a) y = arctan (b) y = v1-x' arsin(x)

A:

Q: ind the 9th derivative of f(z)=exp((-1 + isqrt 3)z) at z=0.

A: Given f(z)=e(-1+3)z Differentiating w.r.t 'z' f'(z)=e(-1+3)z(-1+i3) f''(z)=e(-1+3)z(-1+i3)2…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: