Find the slope of the tangent to the cur

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Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Applications of Derivatives

Question:

Find the slope of the tangent to the curve y=3$ { x}^{4 } $ - 4x at x=4

Options:

768

700

0.5

764

Correct Answer:

764

Explanation:

$ Slope =\frac{dy}{dx} = 12x^3 - 4 = 12\times 4^3 - 4 = 768 - 4 = 764$