# differentiate

1. ### Determining the derivative with respect to x

I am supposed to determine the derivative with respect to x of: 1. f(x) = (x^2+3)^4 and 2. g(x) = sort of x+5 over x^2 I tried to differentiate them but it is not the right answer.. What am I supposed to do?
2. ### Integrate and Differentiate f(z)= 1/x^(2)

Hi I am working on a question that simply states: Differentiate and Integrate the following functions... ..f(z)= 1/x^(2) If I am meant to differentiate with respect to z then do either: (i) leave the x term as it is; (ii) not include the x term as differentiating with respect to z does not...

Differentiate: f(x)= sin2(pi)x I understand that sin becomes cos, but I don't know what to do whenever pi or anything else is attached. Are they considered constants? Or am I missing something? Sent from my SM-G900V using Tapatalk
4. ### differentiate power series

for d/dx(e^x) , the series should be start from 2 rather than 1 , right ? because when k = 1 , the circled part would become 0 , the series for (e^x) is 1 + x + ..........
5. ### differentiate arc cosh ( cosh x )

how to get the ans ? i have attacahed the ans is the 2nd pic.
6. ### differentiate arc sinh x

which is the correct ans ? my ans or the ans provided ? P/s : the ans provided gt abs (x) at the denominator , right ?
7. ### I want to differentiate this equation.

Hi all, I want to differentiate this equation which is looking complex. So, Help me out in differentiating this equation. I attached the differential equation below in image file. Thanks in advance
8. ### Which statistical variables used to differentiate?

Which two tests or variables can you determine these two graphs?
9. ### differentiate the following expressions

Can someone please help me. I am so stuck on these questions. I have had a go at the first one and got an answer of 1/2sqrt(cosx) unsure if thats right though. I have attached the expressions as a file on this thread. hopefully someone understands it Thanks in advance

11. ### Differentiate sigmoid dissolution equation

The equation below describes the dissolution of a drug as a percentage (Y) with respect to time (X). A, B and G are constants. The shape of the Y vs X relationship is sigmoidal. Y=(A*X^G)/(B^G+X^G) Please can I be shown how to obtain the first derivative (dY/dX) of this equation. ANGUS
12. ### Implicite Differentiate + Tangent Problem

Hello, I am really confused to solve this problem : "The equation of a curve is xy(x + y) = 2a^3, where a is a non-zero constant. Show that there is only one point on the curve at which the tangent is parallel to the x-axis, and find the coordinates of this point. " Help me, Please. Regards
13. ### How to differentiate x^4 over x^2

$$\frac{dx^4}{dx^2}=?$$ Maybe an insanely stupid question, but I have to ask. Is it $$y=x^2$$ $$\frac{dy^2}{dy} = 2y = 2x^2$$ ?
14. ### How do I differentiate this?

Done most of my practice problems easily, but this one has me stumped.. y = x^7(3x^4 + 12x - 1)^2 Do I use the Product Rule with f(x) and g(x) both being the term inside the parenthesis, but if so what on earth do I do with the x^7 on the outside? Never had a term in front like this. Any help...
15. ### Help needed w/ differentiation

Hi, I am having trouble with a couple questions and my book does not feature any equivalent sample questions, nor does it explain how to deal with anything like them. The problems are: y = \frac{\sqrt{x}-2}{\sqrt{x}+2} and F(x) = (x^5 - 1)^4 (2 - 3x)^3 I have tried to apply the quotient...
16. ### Differentiate a = - kv^2

Hi everyone! Can you please explain to me how to differentiate a = -kv2, where a is acceleration, v is velocity, and k is a constant. I am supposed to differentiate with respect to t , to find v(t), so it is supposed to be a = dv/dt. Thank you for your time!
17. ### Differentiate f(x) and solve f'(x) = 0.

Hello I have hard time with this question While solving a problem in my course f(x) = ax ( 1 - e^{ b ( \frac{1}{{x}} - c ) } ) Differentiating gives \frac{df}{dx} = a ( 1 - e^{ \frac{b}{x} - bc } +\frac{b}{x} e^{ \frac{b}{x} - bc } ) Setting equal to zero gives e^{ \frac{b}{x} - bc } ( 1 -...
18. ### Prove the identity by direct differentiation

Hi, please have a look at the attached question and the attempt made to solve, but I can't The question is Problem 1.2 (b) The vectors in my working are underlined, but are bold in the question. The thing is, that I don't know where the c springs from in the RHS. Here is the question: My...
19. ### Unsure of how to differentiate this expression

Hi everyone, this is an exercise from my circuit class, it involves calculus, and I am unsure about how to do it. Differentiate the following expression with respect to RL: From the solutions manual it seems like I am supposed to use the quotient rule. This confuses me, because (other than...
20. ### differentiate

differentiate with respect to t where t is real \frac{w+t}{|w+t|^2} where w is a constant complex number. I get \frac{|z+t|^2-2(z+t)^2}{|z+t|^4} but that is the wrong answer in my book. Thanks