Calculus I, Derivative t>=0

Calculus I, Derivative t>=0

In Calculus, are any number to the power of x treated as E^x when working with derivatives? (i.e. 10^x ... 10xln(10)

Find the function of the form f(x)=a+bcos(cx) that is tangent to the line y=1 at the point (0,1), and tangent to the line y = x + (3/2) - (pi/4) at the point (pi/4, 3/2).

y=(xy)x Write an expression for dy/dx

Application of Derivatives

1. Find the equation of the line tangent to the curve 𝑦 = 1 √𝑥2+2 at 𝑥 = −1. Do not use the derivatives rules. Use the limit definition to calculate the derivative. [5 marks] need solution...

1) Find all points on the curve y=2x^3 +3x^2-10x+3 where the gradient of the tangent is 2. 2) Find the coordinates of P and Q if (PQ) is the tangent to y=5/root x at (1,5). 3)...

find equation of tangent line and normal line given x2/25 + y2/9 = 1 with coordinates (5sqrt(2)/2, 3sqrt(2)/2)

Find the exact Value of c on f(x) = c/x so that f(x) is tangent to x2/25 + y2/9 = 1

Hi, can anybody help me with the following question? "Find the equation of the curve with the derivative of y with respect to x given as (2/√x)-x, passing through the point (2,1)"

how to solve integration of (3x+5)^4

An object is moving in a straight line from a fixed point. The displacement s(in meters) is given by s=-2t^2+28t+45, t is greater than or equal to 0, where t is in seconds. 1...

An object is moving in a straight line from a fixed point. The displacement s(in metres) is given by s=-2t^2+28t+45, t is greater than or equal to 0, where t is in seconds. Find...

Dianna wants to enclose a rectangular flower plot that adjoins a brick retaining wall. If she has only 30 m of decorative fencing, what should be the dimensions of the flower plot be so that she a...

You want to produce a cylindrical water container with a capacity of 350mL. What dimensions will minimize the amount of material required for the container?

Differentiate y = (2x+5)^3(6x-1)^5. Express your answer in factored form.

how do you prove that the derivative of x^n is nx^n-1

If f(x) is a function such that f(x) + f''(x)=0 and g(x)= (f(x))²+(f'(x))² and g(3)= 8, then g(8)= ?

i have tried to understand this but i cannot and my homework is due at 6 pm! Please help

if y=log(1+tanx/1-tanx )^0.5 then prove dy/dx=sec^2x

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