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Is the sentence true or false?
If f'(x) > 0 for all x in the interval, then the function f is strictly increasing
True
False
Equation for the line tangent to the graph of f(x)=7x4−2x+3 f\left(x\right)=7x^4-2x+3\ f(x)=7x4−2x+3 at x=4 is 90(x−2)+790\left(x-2\right)+790(x−2)+7
A stationary point of f is a number x such that f′(x)=0f'\left(x\right)=0f′(x)=0
Find an equation for the line tangent to the graph of
f(x)=3x4−6x+3f\left(x\right)=3x^4-6x+3f(x)=3x4−6x+3
90(x−2)90\left(x-2\right)90(x−2) +39
90(x−2)+390\left(x-2\right)+390(x−2)+3
90(x−2)+790\left(x-2\right)+790(x−2)+7
f(x)=3xf\left(x\right)=3xf(x)=3x at x=π/4
9(x-π/4)+39
3(x-π/4)+(3/2)
90(x-π/4)+7
If f′(x)f'\left(x\right)f′(x) < 0 for all x in the interval, then the function f is constant
What is the gradient of the curve y = 2x3 at the point (3,54)?
52
56
54
Find the slope of x2x^2x2 at the point (3,9)
4
5
6
1. Is the sentence true or false?
If f′(x)f'\left(x\right)f′(x) < 0 for all x in the interval, then the function f is strictly decreasing
Find the slope of 5x at the point (3,9)
It is done.