0
so say y = 2^x
dy/dx = ln2.2^x
(. = multiplication symbol, ^ = to-the-power-of symbol)
The general formula is
(where 'a' is a constant, x is what you are differentiating with respect to and y is f(x))
y = a^x
then
dy/dx = lna.a^x
Go ask a math teacher or look up exponential function differentiation on the internet for why.
What else can I help you with?
Differentiate sin x with respect to x?
y = Sin(x) dy/dx = Cos(x)
How do you differentiate x sinx with respect to x?
You should apply the chain rule d/dx(x.sin x) = x * d/dx(sin x) + sin x * d/dx(x) = x * cos x + sin x * 1 = x.cos x + sin x
X power 2 plus x power 2?
Assuming X and x are the same then x2 + x2 = 2x2.
If y equals x cube plus 2x and dx over dt equals 5 what is dy over dt when x equals 2?
y=x3+ 2x, dx/dt=5, x=2, dy/dt=? Differentiate the equation with respect to t. dy/dt=3x2*dx/dt Substitute in known values. dy/dt=3(2)2 * (5) dy/dt=60
What is the value of e to the power of (2x) when e to the power of x equals 2?
The power law of indices says: (x^a)^b = x^(ab) = x^(ba) = (x^b)^a → e^(2x) = (e^x)² but e^x = 2 → e^(2x) = (e^x)² = 2² = 4
How do you differentiate 2 to the power x with respect to x?
The answer is ln(2)2x where ln(2) is the natural log of 2. The answer is NOT f(x) = x times 2 to the power(x-1). That rule applies only when the exponent is a constant.
How do you differentiate square root x?
The derivative of ( x1/2 ) with respect to 'x' is [ 1/2 x-1/2 ], or 1/[2sqrt(x)] .
Differentiate cos x with respect to x?
d/dx(cos x) = -sinx
What is the answer of the questions Differentiate X Squared and How?
Differentiating x^2 can be accomplished by using the Power Rule. This provides that d/dx (x^2)=2x
Differentiate sin x with respect to x?
y = Sin(x) dy/dx = Cos(x)
How do you differentiate x sinx with respect to y?
If you actually mean "... with respect to x", and that y is equal to this function of x, then the answer is:y = x sin(x)∴ dy/dx = sin(x) + x cos(x)
How do you differentiate xy3 - 3y equals 1008?
With respect to x, the derivative would be:1*Y^3 = Y^3With respect to Y the derivative would be:3*xy^2 - 3In general: the derivative of a variable is defined as: nax^n-1Where n represents the power, a represents the factor and x represents the variable
What is the differentiation of y with respect to x for x equals y exponent y?
x = yy differentiate both sides with respect to x dx = (y * yy-1) dy dy/dx = y * yy-1 dy/dx = yy = x hence differentiate of y wrt x is x only
How do you differentiate 2x with respect to x?
The answer is 2. 2x = 2x1 So you follow the usual rule about bring down the exponent and subtract one from it and you get 1*2x0= 2x0=2
What are some easy math questions?
Easy for who? Year 6-7: What is the next number in sequence: 5, 10, 17, 26, 37, 50, ? What is the next number in sequence: 1, 1, 2, 3, 5, 8, 13, ? Year 8-9: What is the length of the hypotenuse on a triangle with sides of length 6 and 8. What is this called? Year 10-11: Find both values of x for: x^2 + 1 = 0 Find both values of x for: x^2 + 5x - 6 = 0 A-Level Differentiate with respect to x: x^2 + 2x + 4 Differentiate with respect to x: e^x
How do you differentiate Tanx?
sec^2(x)
What is the derivative of 2x with respect to x?
d/dx(2x) = 2 simple power rule
