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A curve has equation 2(x^2)+3x+10. What is the gradient of the curve at x=3

Answered by Tom E. • Maths tutor

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A curve has equations: x=2sin(t) and y=1-cos(2t). Find dy/dx at the point where t=pi/6

Since this question concerns parametric's, one may move to eliminate t from the equation to calculate dy/dx directly. However, in this case it is much easier to use the chain rule and realise that dy/dx=d...

Answered by Cameron H. • Maths tutor

4812 Views

Functions: If f(x)=3x^2 - 4 and g(x) = x + 3, 1) Evaluate f(3), 2) Find the inverse of f(x) (f^-1(x)), 3)Find fg(x).

in this case x=3 so you substitute it into f(x) to get f(3) = 3(3)² - 4 = 3*9 -4 = 27 - 4 = 232) There are 2 methods to this question, a logical method, and a more mathematical method. Th...

Answered by Jason P. • Maths tutor

5249 Views

if y= e^(5x) what is dy/dx

For differentiation it is known that d/dx(e^x) = e^x always.This example is slightly more complex as it includes a product of x as the power.In this case we can simplify the question by setting 5x= u ther...

Answered by Lucinda D. • Maths tutor

4284 Views

How do you integrate the term x^2?

When integrating terms that include a power, such as x², there is a simple rule to remember. The rule is to add 1 to the power, and then divide the whole term by this number.For example, in the...

Answered by Jack P. • Maths tutor

2739 Views