QUESTION 1 OF 20
Using the power rule, what is the derivative of f(x) = x⁵?
Find the derivative of f(x) = 3x² + 2x - 1.
Determine dy/dx for y = 4x³ - ½x² + 7.
What is the derivative of f(x) = √x?
Differentiate y = 5/x³ with respect to x.
The gradient of the tangent to the curve y = x² - 4x + 3 at x = 3 is:
For the curve f(x) = x³ - 6x, the gradient at x = 2 is:
The equation of the tangent line to y = x² at (2, 4) is:
If the gradient of the tangent is 2, the gradient of the normal is:
The normal to a curve is:
Stationary points occur where:
f(x) = x² - 6x + 5 has a:
To determine nature of stationary point use:
If f'(a)=0 and f''(a)<0, then:
Number of stationary points of x³ - 3x + 1:
Maximum area width for A = w(50 - w):
Maximum height of h(t)=20t-5t²:
Rate of change is found by:
Derivative of sin x:
Derivative of cos x:
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