### Finding Derivative Functions

Y=x^1/3

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Y=x^1/3

Y =c/(1+ y/x^2)^1/2 a is a variable x is a variable c is a constant y is a constant I need to differentiate a with respect to x. Please see the attached file for the fully formatted problems.

Find the three second partial derivatives of exp[-{(x-1)^2-(y-1)^2}/2]

Answers and working to the questions: 1. Obtain dy for the following expressions. dx (a) y = (5x + 4)3 (b) y = (3 - 2x)5 (c) y = square root (5 - 0.6x) (d) y = (2 + 3x)-0.6 2. Differentiate the following with respect to o. (a) f(o) = sin(5o - 2) (b) f(o) = cos(4 - 3o) (c)

Find the derivative of y = (2x)^5

Let f(x) = 1/x Find f"(4). See the attached file.

F(x) = (2x + 1)^1/2

(See attached file for full problem description)

Find the second derivative of f(x) = x4 + 4x3 + x2 + 6x - 1

Please see the attached file for the fully formatted problems.

See the attached file. 1: Both forms of the definitions of the derivative of a function f at number a. 2: A 13ft ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of 2ft/sec how fast will the foot of the ladder be moving away from the wall when the top is 5ft above the ground? 3: y':

Use the product rule to find the derivative of y = (x - 7) (x + 4).

F(x)=x^2/(x-1)

Use the product rule to find the derivative of y = (x - 7) (x + 4).

F(x)=(x-2)/(x+1)

Use the product and quotient rules to simplify. All variables represent positive real numbers. principle square root 27/16

4 principle square root 32

(See attached file for full problem description) The derivative of the constant function f(x) = c is _________.

(See attached file for full problem description)

Find the first three derivatives of the function f(x) = 2cos x sin 2x. (See attached file for full problem description)

Calculus - Chain Rule. Finding Derivatives using Chain Rule. See attached file for full problem description.

Here's what I have so far. I'm writing an equation for a line tangent to the curve y = at point P(-1,7). Using the power rule for a negative integer I found f(x) = . I'm still having some problems with my derivatives. You can see my work below but I've made a mistake somewhere. I don't need help with anything other th

Find the second derivatives of e^(sqrt(x))

Find the three partial derivatives of f(x,y). See attached file.

Second Derivative. See attached file for full problem description. 1. Find the second derivatives of

Given f(x)=(x^2+3*x+1)^5 / (x+3)^5 , identify a function u of x and an integer n not equal to 1 such that f(x)=u^n. Then compute f'(x).

Implicit differentiation. See attached file for full problem description.

Find dy/dx if 3x + 4y -5 = 0 using implicit differentiation.

Write down the derivative of each of the following functions. f(x)=e^-2x. (thats e to the power minus2x). g(x)=sin(7x). Hence by using the product rule,differtiate k(x)=e^-2xsin(7x)

Differentiation of functions. Please see the attached file for the functions.